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Finding the Fourth Proportional to 717.66, 1,075.84 and 279.20

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Solution

The fourth proportional to 717.66, 1,075.84 and 279.20 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.66 : 1,075.84 = 279.20 : x
  2. Step 2: Convert to fraction form
    717.66/1,075.84 = 279.20/x
  3. Step 3: Cross multiply
    717.66x = 1,075.84 × 279.20
  4. Step 4: Simplify right side
    717.66x = 300,374.53
  5. Step 5: Solve for x
    x = 300,374.53/717.66
  6. Step 6: Final answer
    x = 418.55

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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.