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Finding the Fourth Proportional to 484.07, 724.31 and 289.17

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Solution

The fourth proportional to 484.07, 724.31 and 289.17 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.07 : 724.31 = 289.17 : x
  2. Step 2: Convert to fraction form
    484.07/724.31 = 289.17/x
  3. Step 3: Cross multiply
    484.07x = 724.31 × 289.17
  4. Step 4: Simplify right side
    484.07x = 209,451.01
  5. Step 5: Solve for x
    x = 209,451.01/484.07
  6. Step 6: Final answer
    x = 432.69

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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.