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Finding the Fourth Proportional to 616.60, 923.55 and 327.70

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Solution

The fourth proportional to 616.60, 923.55 and 327.70 is: 490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 923.55 = 327.70 : x
  2. Step 2: Convert to fraction form
    616.60/923.55 = 327.70/x
  3. Step 3: Cross multiply
    616.60x = 923.55 × 327.70
  4. Step 4: Simplify right side
    616.60x = 302,647.34
  5. Step 5: Solve for x
    x = 302,647.34/616.60
  6. Step 6: Final answer
    x = 490.83

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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.