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Finding the Fourth Proportional to 1,061.07, 1,591.70 and 411.85

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Solution

The fourth proportional to 1,061.07, 1,591.70 and 411.85 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.07 : 1,591.70 = 411.85 : x
  2. Step 2: Convert to fraction form
    1,061.07/1,591.70 = 411.85/x
  3. Step 3: Cross multiply
    1,061.07x = 1,591.70 × 411.85
  4. Step 4: Simplify right side
    1,061.07x = 655,543.89
  5. Step 5: Solve for x
    x = 655,543.89/1,061.07
  6. Step 6: Final answer
    x = 617.82

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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.