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Finding the Fourth Proportional to 500.56, 745.46 and 487.76

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Solution

The fourth proportional to 500.56, 745.46 and 487.76 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.56 : 745.46 = 487.76 : x
  2. Step 2: Convert to fraction form
    500.56/745.46 = 487.76/x
  3. Step 3: Cross multiply
    500.56x = 745.46 × 487.76
  4. Step 4: Simplify right side
    500.56x = 363,605.57
  5. Step 5: Solve for x
    x = 363,605.57/500.56
  6. Step 6: Final answer
    x = 726.40

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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.