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Finding the Fourth Proportional to 527.38, 786.47 and 502.54

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Solution

The fourth proportional to 527.38, 786.47 and 502.54 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.38 : 786.47 = 502.54 : x
  2. Step 2: Convert to fraction form
    527.38/786.47 = 502.54/x
  3. Step 3: Cross multiply
    527.38x = 786.47 × 502.54
  4. Step 4: Simplify right side
    527.38x = 395,230.12
  5. Step 5: Solve for x
    x = 395,230.12/527.38
  6. Step 6: Final answer
    x = 749.42

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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.