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Finding the Fourth Proportional to 616.83, 923.73 and 478.73

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Solution

The fourth proportional to 616.83, 923.73 and 478.73 is: 716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 923.73 = 478.73 : x
  2. Step 2: Convert to fraction form
    616.83/923.73 = 478.73/x
  3. Step 3: Cross multiply
    616.83x = 923.73 × 478.73
  4. Step 4: Simplify right side
    616.83x = 442,212.64
  5. Step 5: Solve for x
    x = 442,212.64/616.83
  6. Step 6: Final answer
    x = 716.91

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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.