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Finding the Fourth Proportional to 1,042.47, 1,438.41 and 710.78

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Solution

The fourth proportional to 1,042.47, 1,438.41 and 710.78 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,438.41 = 710.78 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,438.41 = 710.78/x
  3. Step 3: Cross multiply
    1,042.47x = 1,438.41 × 710.78
  4. Step 4: Simplify right side
    1,042.47x = 1,022,384.54
  5. Step 5: Solve for x
    x = 1,022,384.54/1,042.47
  6. Step 6: Final answer
    x = 980.73

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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.