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Finding the Fourth Proportional to 1,042.62, 1,563.33 and 888.30

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Solution

The fourth proportional to 1,042.62, 1,563.33 and 888.30 is: 1,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.62 : 1,563.33 = 888.30 : x
  2. Step 2: Convert to fraction form
    1,042.62/1,563.33 = 888.30/x
  3. Step 3: Cross multiply
    1,042.62x = 1,563.33 × 888.30
  4. Step 4: Simplify right side
    1,042.62x = 1,388,706.04
  5. Step 5: Solve for x
    x = 1,388,706.04/1,042.62
  6. Step 6: Final answer
    x = 1,331.94

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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.