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Finding the Fourth Proportional to 850.69, 1,275.76 and 578.53

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Solution

The fourth proportional to 850.69, 1,275.76 and 578.53 is: 867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.69 : 1,275.76 = 578.53 : x
  2. Step 2: Convert to fraction form
    850.69/1,275.76 = 578.53/x
  3. Step 3: Cross multiply
    850.69x = 1,275.76 × 578.53
  4. Step 4: Simplify right side
    850.69x = 738,065.43
  5. Step 5: Solve for x
    x = 738,065.43/850.69
  6. Step 6: Final answer
    x = 867.61

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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.