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Finding the Fourth Proportional to 616.02, 927.62 and 454.83

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Solution

The fourth proportional to 616.02, 927.62 and 454.83 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 927.62 = 454.83 : x
  2. Step 2: Convert to fraction form
    616.02/927.62 = 454.83/x
  3. Step 3: Cross multiply
    616.02x = 927.62 × 454.83
  4. Step 4: Simplify right side
    616.02x = 421,909.40
  5. Step 5: Solve for x
    x = 421,909.40/616.02
  6. Step 6: Final answer
    x = 684.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.