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Finding the Fourth Proportional to 850.17, 1,275.57 and 578.82

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Solution

The fourth proportional to 850.17, 1,275.57 and 578.82 is: 868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.17 : 1,275.57 = 578.82 : x
  2. Step 2: Convert to fraction form
    850.17/1,275.57 = 578.82/x
  3. Step 3: Cross multiply
    850.17x = 1,275.57 × 578.82
  4. Step 4: Simplify right side
    850.17x = 738,316.16
  5. Step 5: Solve for x
    x = 738,316.16/850.17
  6. Step 6: Final answer
    x = 868.44

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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.