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Finding the Fourth Proportional to 1,591.45, 2,384.42 and 861.53

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Solution

The fourth proportional to 1,591.45, 2,384.42 and 861.53 is: 1,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.45 : 2,384.42 = 861.53 : x
  2. Step 2: Convert to fraction form
    1,591.45/2,384.42 = 861.53/x
  3. Step 3: Cross multiply
    1,591.45x = 2,384.42 × 861.53
  4. Step 4: Simplify right side
    1,591.45x = 2,054,233.13
  5. Step 5: Solve for x
    x = 2,054,233.13/1,591.45
  6. Step 6: Final answer
    x = 1,290.80

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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.