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Finding the Fourth Proportional to 631.67, 946.56 and 457.91

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Solution

The fourth proportional to 631.67, 946.56 and 457.91 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 946.56 = 457.91 : x
  2. Step 2: Convert to fraction form
    631.67/946.56 = 457.91/x
  3. Step 3: Cross multiply
    631.67x = 946.56 × 457.91
  4. Step 4: Simplify right side
    631.67x = 433,439.29
  5. Step 5: Solve for x
    x = 433,439.29/631.67
  6. Step 6: Final answer
    x = 686.18

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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.