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Finding the Fourth Proportional to 717.34, 1,075.05 and 409.07

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Solution

The fourth proportional to 717.34, 1,075.05 and 409.07 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.34 : 1,075.05 = 409.07 : x
  2. Step 2: Convert to fraction form
    717.34/1,075.05 = 409.07/x
  3. Step 3: Cross multiply
    717.34x = 1,075.05 × 409.07
  4. Step 4: Simplify right side
    717.34x = 439,770.70
  5. Step 5: Solve for x
    x = 439,770.70/717.34
  6. Step 6: Final answer
    x = 613.06

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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.