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Finding the Fourth Proportional to 484.71, 723.31 and 432.79

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Solution

The fourth proportional to 484.71, 723.31 and 432.79 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 723.31 = 432.79 : x
  2. Step 2: Convert to fraction form
    484.71/723.31 = 432.79/x
  3. Step 3: Cross multiply
    484.71x = 723.31 × 432.79
  4. Step 4: Simplify right side
    484.71x = 313,042.42
  5. Step 5: Solve for x
    x = 313,042.42/484.71
  6. Step 6: Final answer
    x = 645.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.