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Finding the Fourth Proportional to 1,030.11, 1,545.36 and 380.89

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Solution

The fourth proportional to 1,030.11, 1,545.36 and 380.89 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.11 : 1,545.36 = 380.89 : x
  2. Step 2: Convert to fraction form
    1,030.11/1,545.36 = 380.89/x
  3. Step 3: Cross multiply
    1,030.11x = 1,545.36 × 380.89
  4. Step 4: Simplify right side
    1,030.11x = 588,612.17
  5. Step 5: Solve for x
    x = 588,612.17/1,030.11
  6. Step 6: Final answer
    x = 571.41

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Double scale
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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.