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Finding the Fourth Proportional to 462.47, 637.65 and 296.42

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Solution

The fourth proportional to 462.47, 637.65 and 296.42 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 637.65 = 296.42 : x
  2. Step 2: Convert to fraction form
    462.47/637.65 = 296.42/x
  3. Step 3: Cross multiply
    462.47x = 637.65 × 296.42
  4. Step 4: Simplify right side
    462.47x = 189,009.02
  5. Step 5: Solve for x
    x = 189,009.02/462.47
  6. Step 6: Final answer
    x = 408.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.