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Finding the Fourth Proportional to 691.60, 1,036.08 and 402.16

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Solution

The fourth proportional to 691.60, 1,036.08 and 402.16 is: 602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.60 : 1,036.08 = 402.16 : x
  2. Step 2: Convert to fraction form
    691.60/1,036.08 = 402.16/x
  3. Step 3: Cross multiply
    691.60x = 1,036.08 × 402.16
  4. Step 4: Simplify right side
    691.60x = 416,669.93
  5. Step 5: Solve for x
    x = 416,669.93/691.60
  6. Step 6: Final answer
    x = 602.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.