Home / 1,029.90-1,545.19-380.69

Finding the Fourth Proportional to 1,029.90, 1,545.19 and 380.69

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Solution

The fourth proportional to 1,029.90, 1,545.19 and 380.69 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.90 : 1,545.19 = 380.69 : x
  2. Step 2: Convert to fraction form
    1,029.90/1,545.19 = 380.69/x
  3. Step 3: Cross multiply
    1,029.90x = 1,545.19 × 380.69
  4. Step 4: Simplify right side
    1,029.90x = 588,238.38
  5. Step 5: Solve for x
    x = 588,238.38/1,029.90
  6. Step 6: Final answer
    x = 571.16

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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.