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Finding the Fourth Proportional to 616.60, 927.03 and 495.71

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Solution

The fourth proportional to 616.60, 927.03 and 495.71 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 927.03 = 495.71 : x
  2. Step 2: Convert to fraction form
    616.60/927.03 = 495.71/x
  3. Step 3: Cross multiply
    616.60x = 927.03 × 495.71
  4. Step 4: Simplify right side
    616.60x = 459,533.41
  5. Step 5: Solve for x
    x = 459,533.41/616.60
  6. Step 6: Final answer
    x = 745.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.