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Finding the Fourth Proportional to 753.93, 1,040.46 and 417.87

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Solution

The fourth proportional to 753.93, 1,040.46 and 417.87 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.93 : 1,040.46 = 417.87 : x
  2. Step 2: Convert to fraction form
    753.93/1,040.46 = 417.87/x
  3. Step 3: Cross multiply
    753.93x = 1,040.46 × 417.87
  4. Step 4: Simplify right side
    753.93x = 434,777.02
  5. Step 5: Solve for x
    x = 434,777.02/753.93
  6. Step 6: Final answer
    x = 576.68

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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.