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Finding the Fourth Proportional to 923.79, 1,385.67 and 338.83

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Solution

The fourth proportional to 923.79, 1,385.67 and 338.83 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,385.67 = 338.83 : x
  2. Step 2: Convert to fraction form
    923.79/1,385.67 = 338.83/x
  3. Step 3: Cross multiply
    923.79x = 1,385.67 × 338.83
  4. Step 4: Simplify right side
    923.79x = 469,506.57
  5. Step 5: Solve for x
    x = 469,506.57/923.79
  6. Step 6: Final answer
    x = 508.24

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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.