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Finding the Fourth Proportional to 746.16, 1,029.34 and 447.20

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Solution

The fourth proportional to 746.16, 1,029.34 and 447.20 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.16 : 1,029.34 = 447.20 : x
  2. Step 2: Convert to fraction form
    746.16/1,029.34 = 447.20/x
  3. Step 3: Cross multiply
    746.16x = 1,029.34 × 447.20
  4. Step 4: Simplify right side
    746.16x = 460,318.61
  5. Step 5: Solve for x
    x = 460,318.61/746.16
  6. Step 6: Final answer
    x = 616.92

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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.