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Finding the Fourth Proportional to 869.68, 1,200.16 and 476.72

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Solution

The fourth proportional to 869.68, 1,200.16 and 476.72 is: 657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.68 : 1,200.16 = 476.72 : x
  2. Step 2: Convert to fraction form
    869.68/1,200.16 = 476.72/x
  3. Step 3: Cross multiply
    869.68x = 1,200.16 × 476.72
  4. Step 4: Simplify right side
    869.68x = 572,140.28
  5. Step 5: Solve for x
    x = 572,140.28/869.68
  6. Step 6: Final answer
    x = 657.87

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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.