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Finding the Fourth Proportional to 527.52, 732.36 and 511.68

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Solution

The fourth proportional to 527.52, 732.36 and 511.68 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 732.36 = 511.68 : x
  2. Step 2: Convert to fraction form
    527.52/732.36 = 511.68/x
  3. Step 3: Cross multiply
    527.52x = 732.36 × 511.68
  4. Step 4: Simplify right side
    527.52x = 374,733.96
  5. Step 5: Solve for x
    x = 374,733.96/527.52
  6. Step 6: Final answer
    x = 710.37

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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.