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Finding the Fourth Proportional to 923.85, 1,383.87 and 614.70

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Solution

The fourth proportional to 923.85, 1,383.87 and 614.70 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,383.87 = 614.70 : x
  2. Step 2: Convert to fraction form
    923.85/1,383.87 = 614.70/x
  3. Step 3: Cross multiply
    923.85x = 1,383.87 × 614.70
  4. Step 4: Simplify right side
    923.85x = 850,670.08
  5. Step 5: Solve for x
    x = 850,670.08/923.85
  6. Step 6: Final answer
    x = 920.79

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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.