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Finding the Fourth Proportional to 484.70, 723.32 and 432.79

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Solution

The fourth proportional to 484.70, 723.32 and 432.79 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.70 : 723.32 = 432.79 : x
  2. Step 2: Convert to fraction form
    484.70/723.32 = 432.79/x
  3. Step 3: Cross multiply
    484.70x = 723.32 × 432.79
  4. Step 4: Simplify right side
    484.70x = 313,045.66
  5. Step 5: Solve for x
    x = 313,045.66/484.70
  6. Step 6: Final answer
    x = 645.85

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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.