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Finding the Fourth Proportional to 527.45, 728.87 and 370.71

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Solution

The fourth proportional to 527.45, 728.87 and 370.71 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.45 : 728.87 = 370.71 : x
  2. Step 2: Convert to fraction form
    527.45/728.87 = 370.71/x
  3. Step 3: Cross multiply
    527.45x = 728.87 × 370.71
  4. Step 4: Simplify right side
    527.45x = 270,197.54
  5. Step 5: Solve for x
    x = 270,197.54/527.45
  6. Step 6: Final answer
    x = 512.28

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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.