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Finding the Fourth Proportional to 717.43, 1,075.24 and 409.45

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Solution

The fourth proportional to 717.43, 1,075.24 and 409.45 is: 613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.43 : 1,075.24 = 409.45 : x
  2. Step 2: Convert to fraction form
    717.43/1,075.24 = 409.45/x
  3. Step 3: Cross multiply
    717.43x = 1,075.24 × 409.45
  4. Step 4: Simplify right side
    717.43x = 440,257.02
  5. Step 5: Solve for x
    x = 440,257.02/717.43
  6. Step 6: Final answer
    x = 613.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.