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Finding the Fourth Proportional to 1,029.91, 1,545.05 and 380.65

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Solution

The fourth proportional to 1,029.91, 1,545.05 and 380.65 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.91 : 1,545.05 = 380.65 : x
  2. Step 2: Convert to fraction form
    1,029.91/1,545.05 = 380.65/x
  3. Step 3: Cross multiply
    1,029.91x = 1,545.05 × 380.65
  4. Step 4: Simplify right side
    1,029.91x = 588,123.28
  5. Step 5: Solve for x
    x = 588,123.28/1,029.91
  6. Step 6: Final answer
    x = 571.04

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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.