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Finding the Fourth Proportional to 484.47, 724.86 and 407.42

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Solution

The fourth proportional to 484.47, 724.86 and 407.42 is: 609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.47 : 724.86 = 407.42 : x
  2. Step 2: Convert to fraction form
    484.47/724.86 = 407.42/x
  3. Step 3: Cross multiply
    484.47x = 724.86 × 407.42
  4. Step 4: Simplify right side
    484.47x = 295,318.84
  5. Step 5: Solve for x
    x = 295,318.84/484.47
  6. Step 6: Final answer
    x = 609.57

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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.