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Finding the Fourth Proportional to 631.63, 946.99 and 425.69

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Solution

The fourth proportional to 631.63, 946.99 and 425.69 is: 638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 946.99 = 425.69 : x
  2. Step 2: Convert to fraction form
    631.63/946.99 = 425.69/x
  3. Step 3: Cross multiply
    631.63x = 946.99 × 425.69
  4. Step 4: Simplify right side
    631.63x = 403,123.52
  5. Step 5: Solve for x
    x = 403,123.52/631.63
  6. Step 6: Final answer
    x = 638.23

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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.