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Finding the Fourth Proportional to 607.47, 909.38 and 431.15

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Solution

The fourth proportional to 607.47, 909.38 and 431.15 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.47 : 909.38 = 431.15 : x
  2. Step 2: Convert to fraction form
    607.47/909.38 = 431.15/x
  3. Step 3: Cross multiply
    607.47x = 909.38 × 431.15
  4. Step 4: Simplify right side
    607.47x = 392,072.48
  5. Step 5: Solve for x
    x = 392,072.48/607.47
  6. Step 6: Final answer
    x = 645.42

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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.