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Finding the Fourth Proportional to 923.91, 1,385.85 and 265.80

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Solution

The fourth proportional to 923.91, 1,385.85 and 265.80 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,385.85 = 265.80 : x
  2. Step 2: Convert to fraction form
    923.91/1,385.85 = 265.80/x
  3. Step 3: Cross multiply
    923.91x = 1,385.85 × 265.80
  4. Step 4: Simplify right side
    923.91x = 368,357.33
  5. Step 5: Solve for x
    x = 368,357.33/923.91
  6. Step 6: Final answer
    x = 398.70

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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.