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Finding the Fourth Proportional to 923.79, 1,385.87 and 307.49

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Solution

The fourth proportional to 923.79, 1,385.87 and 307.49 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,385.87 = 307.49 : x
  2. Step 2: Convert to fraction form
    923.79/1,385.87 = 307.49/x
  3. Step 3: Cross multiply
    923.79x = 1,385.87 × 307.49
  4. Step 4: Simplify right side
    923.79x = 426,132.70
  5. Step 5: Solve for x
    x = 426,132.70/923.79
  6. Step 6: Final answer
    x = 461.29

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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.