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Finding the Fourth Proportional to 1,563.12, 2,342.88 and 588.24

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Solution

The fourth proportional to 1,563.12, 2,342.88 and 588.24 is: 881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.12 : 2,342.88 = 588.24 : x
  2. Step 2: Convert to fraction form
    1,563.12/2,342.88 = 588.24/x
  3. Step 3: Cross multiply
    1,563.12x = 2,342.88 × 588.24
  4. Step 4: Simplify right side
    1,563.12x = 1,378,175.73
  5. Step 5: Solve for x
    x = 1,378,175.73/1,563.12
  6. Step 6: Final answer
    x = 881.68

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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.