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Finding the Fourth Proportional to 1,506.70, 2,078.66 and 877.12

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Solution

The fourth proportional to 1,506.70, 2,078.66 and 877.12 is: 1,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.70 : 2,078.66 = 877.12 : x
  2. Step 2: Convert to fraction form
    1,506.70/2,078.66 = 877.12/x
  3. Step 3: Cross multiply
    1,506.70x = 2,078.66 × 877.12
  4. Step 4: Simplify right side
    1,506.70x = 1,823,234.26
  5. Step 5: Solve for x
    x = 1,823,234.26/1,506.70
  6. Step 6: Final answer
    x = 1,210.08

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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.