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Finding the Fourth Proportional to 1,030.10, 1,545.42 and 380.84

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Solution

The fourth proportional to 1,030.10, 1,545.42 and 380.84 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.10 : 1,545.42 = 380.84 : x
  2. Step 2: Convert to fraction form
    1,030.10/1,545.42 = 380.84/x
  3. Step 3: Cross multiply
    1,030.10x = 1,545.42 × 380.84
  4. Step 4: Simplify right side
    1,030.10x = 588,557.75
  5. Step 5: Solve for x
    x = 588,557.75/1,030.10
  6. Step 6: Final answer
    x = 571.36

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1.5x scale

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.