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Finding the Fourth Proportional to 1,563.60, 2,157.84 and 865

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Solution

The fourth proportional to 1,563.60, 2,157.84 and 865 is: 1,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.60 : 2,157.84 = 865 : x
  2. Step 2: Convert to fraction form
    1,563.60/2,157.84 = 865/x
  3. Step 3: Cross multiply
    1,563.60x = 2,157.84 × 865
  4. Step 4: Simplify right side
    1,563.60x = 1,866,531.60
  5. Step 5: Solve for x
    x = 1,866,531.60/1,563.60
  6. Step 6: Final answer
    x = 1,193.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.