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Finding the Fourth Proportional to 1,506.41, 2,079.09 and 877.34

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Solution

The fourth proportional to 1,506.41, 2,079.09 and 877.34 is: 1,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.41 : 2,079.09 = 877.34 : x
  2. Step 2: Convert to fraction form
    1,506.41/2,079.09 = 877.34/x
  3. Step 3: Cross multiply
    1,506.41x = 2,079.09 × 877.34
  4. Step 4: Simplify right side
    1,506.41x = 1,824,074.02
  5. Step 5: Solve for x
    x = 1,824,074.02/1,506.41
  6. Step 6: Final answer
    x = 1,210.88

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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.