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Finding the Fourth Proportional to 1,041.48, 1,562.37 and 938.19

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Solution

The fourth proportional to 1,041.48, 1,562.37 and 938.19 is: 1,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.48 : 1,562.37 = 938.19 : x
  2. Step 2: Convert to fraction form
    1,041.48/1,562.37 = 938.19/x
  3. Step 3: Cross multiply
    1,041.48x = 1,562.37 × 938.19
  4. Step 4: Simplify right side
    1,041.48x = 1,465,799.91
  5. Step 5: Solve for x
    x = 1,465,799.91/1,041.48
  6. Step 6: Final answer
    x = 1,407.42

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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.