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Finding the Fourth Proportional to 486, 725.16 and 437.52

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Solution

The fourth proportional to 486, 725.16 and 437.52 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 725.16 = 437.52 : x
  2. Step 2: Convert to fraction form
    486/725.16 = 437.52/x
  3. Step 3: Cross multiply
    486x = 725.16 × 437.52
  4. Step 4: Simplify right side
    486x = 317,272.00
  5. Step 5: Solve for x
    x = 317,272.00/486
  6. Step 6: Final answer
    x = 652.82

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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.