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Finding the Fourth Proportional to 753.47, 1,040.43 and 474.18

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Solution

The fourth proportional to 753.47, 1,040.43 and 474.18 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.47 : 1,040.43 = 474.18 : x
  2. Step 2: Convert to fraction form
    753.47/1,040.43 = 474.18/x
  3. Step 3: Cross multiply
    753.47x = 1,040.43 × 474.18
  4. Step 4: Simplify right side
    753.47x = 493,348.97
  5. Step 5: Solve for x
    x = 493,348.97/753.47
  6. Step 6: Final answer
    x = 654.77

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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.