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Finding the Fourth Proportional to 1,061.61, 1,591.45 and 377.45

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Solution

The fourth proportional to 1,061.61, 1,591.45 and 377.45 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.61 : 1,591.45 = 377.45 : x
  2. Step 2: Convert to fraction form
    1,061.61/1,591.45 = 377.45/x
  3. Step 3: Cross multiply
    1,061.61x = 1,591.45 × 377.45
  4. Step 4: Simplify right side
    1,061.61x = 600,683.90
  5. Step 5: Solve for x
    x = 600,683.90/1,061.61
  6. Step 6: Final answer
    x = 565.83

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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.