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Finding the Fourth Proportional to 631.57, 946.39 and 425.38

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Solution

The fourth proportional to 631.57, 946.39 and 425.38 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.57 : 946.39 = 425.38 : x
  2. Step 2: Convert to fraction form
    631.57/946.39 = 425.38/x
  3. Step 3: Cross multiply
    631.57x = 946.39 × 425.38
  4. Step 4: Simplify right side
    631.57x = 402,575.38
  5. Step 5: Solve for x
    x = 402,575.38/631.57
  6. Step 6: Final answer
    x = 637.42

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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.