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Finding the Fourth Proportional to 716.34, 1,075.50 and 408.42

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Solution

The fourth proportional to 716.34, 1,075.50 and 408.42 is: 613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.34 : 1,075.50 = 408.42 : x
  2. Step 2: Convert to fraction form
    716.34/1,075.50 = 408.42/x
  3. Step 3: Cross multiply
    716.34x = 1,075.50 × 408.42
  4. Step 4: Simplify right side
    716.34x = 439,255.71
  5. Step 5: Solve for x
    x = 439,255.71/716.34
  6. Step 6: Final answer
    x = 613.19

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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.