Home / 1,030.16-1,545.42-380.90

Finding the Fourth Proportional to 1,030.16, 1,545.42 and 380.90

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Solution

The fourth proportional to 1,030.16, 1,545.42 and 380.90 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.16 : 1,545.42 = 380.90 : x
  2. Step 2: Convert to fraction form
    1,030.16/1,545.42 = 380.90/x
  3. Step 3: Cross multiply
    1,030.16x = 1,545.42 × 380.90
  4. Step 4: Simplify right side
    1,030.16x = 588,650.48
  5. Step 5: Solve for x
    x = 588,650.48/1,030.16
  6. Step 6: Final answer
    x = 571.42

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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.