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Finding the Fourth Proportional to 1,042.82, 1,563.31 and 393.10

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Solution

The fourth proportional to 1,042.82, 1,563.31 and 393.10 is: 589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.82 : 1,563.31 = 393.10 : x
  2. Step 2: Convert to fraction form
    1,042.82/1,563.31 = 393.10/x
  3. Step 3: Cross multiply
    1,042.82x = 1,563.31 × 393.10
  4. Step 4: Simplify right side
    1,042.82x = 614,537.16
  5. Step 5: Solve for x
    x = 614,537.16/1,042.82
  6. Step 6: Final answer
    x = 589.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.