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Finding the Fourth Proportional to 1,592.25, 2,388.84 and 861.63

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Solution

The fourth proportional to 1,592.25, 2,388.84 and 861.63 is: 1,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.25 : 2,388.84 = 861.63 : x
  2. Step 2: Convert to fraction form
    1,592.25/2,388.84 = 861.63/x
  3. Step 3: Cross multiply
    1,592.25x = 2,388.84 × 861.63
  4. Step 4: Simplify right side
    1,592.25x = 2,058,296.21
  5. Step 5: Solve for x
    x = 2,058,296.21/1,592.25
  6. Step 6: Final answer
    x = 1,292.70

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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.