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Finding the Fourth Proportional to 1,030.27, 1,542.61 and 591.13

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Solution

The fourth proportional to 1,030.27, 1,542.61 and 591.13 is: 885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.27 : 1,542.61 = 591.13 : x
  2. Step 2: Convert to fraction form
    1,030.27/1,542.61 = 591.13/x
  3. Step 3: Cross multiply
    1,030.27x = 1,542.61 × 591.13
  4. Step 4: Simplify right side
    1,030.27x = 911,885.43
  5. Step 5: Solve for x
    x = 911,885.43/1,030.27
  6. Step 6: Final answer
    x = 885.10

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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.