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Finding the Fourth Proportional to 753.75, 1,040.15 and 417.68

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Solution

The fourth proportional to 753.75, 1,040.15 and 417.68 is: 576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,040.15 = 417.68 : x
  2. Step 2: Convert to fraction form
    753.75/1,040.15 = 417.68/x
  3. Step 3: Cross multiply
    753.75x = 1,040.15 × 417.68
  4. Step 4: Simplify right side
    753.75x = 434,449.85
  5. Step 5: Solve for x
    x = 434,449.85/753.75
  6. Step 6: Final answer
    x = 576.38

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1.5x scale

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.