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Finding the Fourth Proportional to 484.16, 725.76 and 397.76

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Solution

The fourth proportional to 484.16, 725.76 and 397.76 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.16 : 725.76 = 397.76 : x
  2. Step 2: Convert to fraction form
    484.16/725.76 = 397.76/x
  3. Step 3: Cross multiply
    484.16x = 725.76 × 397.76
  4. Step 4: Simplify right side
    484.16x = 288,678.30
  5. Step 5: Solve for x
    x = 288,678.30/484.16
  6. Step 6: Final answer
    x = 596.25

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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.