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Finding the Fourth Proportional to 1,294.20, 1,941.05 and 591.23

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Solution

The fourth proportional to 1,294.20, 1,941.05 and 591.23 is: 886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.20 : 1,941.05 = 591.23 : x
  2. Step 2: Convert to fraction form
    1,294.20/1,941.05 = 591.23/x
  3. Step 3: Cross multiply
    1,294.20x = 1,941.05 × 591.23
  4. Step 4: Simplify right side
    1,294.20x = 1,147,613.32
  5. Step 5: Solve for x
    x = 1,147,613.32/1,294.20
  6. Step 6: Final answer
    x = 886.74

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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.