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Finding the Fourth Proportional to 652.52, 983.20 and 539.48

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Solution

The fourth proportional to 652.52, 983.20 and 539.48 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 983.20 = 539.48 : x
  2. Step 2: Convert to fraction form
    652.52/983.20 = 539.48/x
  3. Step 3: Cross multiply
    652.52x = 983.20 × 539.48
  4. Step 4: Simplify right side
    652.52x = 530,416.74
  5. Step 5: Solve for x
    x = 530,416.74/652.52
  6. Step 6: Final answer
    x = 812.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.