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Finding the Fourth Proportional to 523.32, 725.46 and 502.80

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Solution

The fourth proportional to 523.32, 725.46 and 502.80 is: 697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.32 : 725.46 = 502.80 : x
  2. Step 2: Convert to fraction form
    523.32/725.46 = 502.80/x
  3. Step 3: Cross multiply
    523.32x = 725.46 × 502.80
  4. Step 4: Simplify right side
    523.32x = 364,761.29
  5. Step 5: Solve for x
    x = 364,761.29/523.32
  6. Step 6: Final answer
    x = 697.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.