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Finding the Fourth Proportional to 1,506.08, 2,078.84 and 876.76

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Solution

The fourth proportional to 1,506.08, 2,078.84 and 876.76 is: 1,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.08 : 2,078.84 = 876.76 : x
  2. Step 2: Convert to fraction form
    1,506.08/2,078.84 = 876.76/x
  3. Step 3: Cross multiply
    1,506.08x = 2,078.84 × 876.76
  4. Step 4: Simplify right side
    1,506.08x = 1,822,643.76
  5. Step 5: Solve for x
    x = 1,822,643.76/1,506.08
  6. Step 6: Final answer
    x = 1,210.19

Related Problems

Find fourth proportional to 753.04, 1,039.42 and 438.38
Half scale
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Double scale
Find fourth proportional to 1,507.08, 2,080.22 and 877.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.