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Finding the Fourth Proportional to 748.30, 1,032.72 and 416.77

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Solution

The fourth proportional to 748.30, 1,032.72 and 416.77 is: 575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.30 : 1,032.72 = 416.77 : x
  2. Step 2: Convert to fraction form
    748.30/1,032.72 = 416.77/x
  3. Step 3: Cross multiply
    748.30x = 1,032.72 × 416.77
  4. Step 4: Simplify right side
    748.30x = 430,406.71
  5. Step 5: Solve for x
    x = 430,406.71/748.30
  6. Step 6: Final answer
    x = 575.18

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Why These Related Problems?

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