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Finding the Fourth Proportional to 1,042.25, 1,438.31 and 576.50

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Solution

The fourth proportional to 1,042.25, 1,438.31 and 576.50 is: 795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.25 : 1,438.31 = 576.50 : x
  2. Step 2: Convert to fraction form
    1,042.25/1,438.31 = 576.50/x
  3. Step 3: Cross multiply
    1,042.25x = 1,438.31 × 576.50
  4. Step 4: Simplify right side
    1,042.25x = 829,182.83
  5. Step 5: Solve for x
    x = 829,182.83/1,042.25
  6. Step 6: Final answer
    x = 795.57

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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.