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Finding the Fourth Proportional to 1,042.67, 1,563.00 and 457.14

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Solution

The fourth proportional to 1,042.67, 1,563.00 and 457.14 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.67 : 1,563.00 = 457.14 : x
  2. Step 2: Convert to fraction form
    1,042.67/1,563.00 = 457.14/x
  3. Step 3: Cross multiply
    1,042.67x = 1,563.00 × 457.14
  4. Step 4: Simplify right side
    1,042.67x = 714,513.97
  5. Step 5: Solve for x
    x = 714,513.97/1,042.67
  6. Step 6: Final answer
    x = 685.27

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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.