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Finding the Fourth Proportional to 460.38, 691.53 and 287.25

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Solution

The fourth proportional to 460.38, 691.53 and 287.25 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 691.53 = 287.25 : x
  2. Step 2: Convert to fraction form
    460.38/691.53 = 287.25/x
  3. Step 3: Cross multiply
    460.38x = 691.53 × 287.25
  4. Step 4: Simplify right side
    460.38x = 198,641.99
  5. Step 5: Solve for x
    x = 198,641.99/460.38
  6. Step 6: Final answer
    x = 431.47

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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.