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Finding the Fourth Proportional to 1,042.44, 1,438.48 and 576.70

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Solution

The fourth proportional to 1,042.44, 1,438.48 and 576.70 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.44 : 1,438.48 = 576.70 : x
  2. Step 2: Convert to fraction form
    1,042.44/1,438.48 = 576.70/x
  3. Step 3: Cross multiply
    1,042.44x = 1,438.48 × 576.70
  4. Step 4: Simplify right side
    1,042.44x = 829,571.42
  5. Step 5: Solve for x
    x = 829,571.42/1,042.44
  6. Step 6: Final answer
    x = 795.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.