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Finding the Fourth Proportional to 938.80, 1,407.80 and 722.53

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Solution

The fourth proportional to 938.80, 1,407.80 and 722.53 is: 1,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.80 : 1,407.80 = 722.53 : x
  2. Step 2: Convert to fraction form
    938.80/1,407.80 = 722.53/x
  3. Step 3: Cross multiply
    938.80x = 1,407.80 × 722.53
  4. Step 4: Simplify right side
    938.80x = 1,017,174.12
  5. Step 5: Solve for x
    x = 1,017,174.12/938.80
  6. Step 6: Final answer
    x = 1,083.48

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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.