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Finding the Fourth Proportional to 748.49, 1,032.77 and 416.90

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Solution

The fourth proportional to 748.49, 1,032.77 and 416.90 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.49 : 1,032.77 = 416.90 : x
  2. Step 2: Convert to fraction form
    748.49/1,032.77 = 416.90/x
  3. Step 3: Cross multiply
    748.49x = 1,032.77 × 416.90
  4. Step 4: Simplify right side
    748.49x = 430,565.44
  5. Step 5: Solve for x
    x = 430,565.44/748.49
  6. Step 6: Final answer
    x = 575.25

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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.