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Finding the Fourth Proportional to 850.66, 1,278.52 and 578.50

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Solution

The fourth proportional to 850.66, 1,278.52 and 578.50 is: 869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.66 : 1,278.52 = 578.50 : x
  2. Step 2: Convert to fraction form
    850.66/1,278.52 = 578.50/x
  3. Step 3: Cross multiply
    850.66x = 1,278.52 × 578.50
  4. Step 4: Simplify right side
    850.66x = 739,623.82
  5. Step 5: Solve for x
    x = 739,623.82/850.66
  6. Step 6: Final answer
    x = 869.47

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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.