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Finding the Fourth Proportional to 524.52, 723.94 and 387.56

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Solution

The fourth proportional to 524.52, 723.94 and 387.56 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 723.94 = 387.56 : x
  2. Step 2: Convert to fraction form
    524.52/723.94 = 387.56/x
  3. Step 3: Cross multiply
    524.52x = 723.94 × 387.56
  4. Step 4: Simplify right side
    524.52x = 280,570.19
  5. Step 5: Solve for x
    x = 280,570.19/524.52
  6. Step 6: Final answer
    x = 534.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.