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Finding the Fourth Proportional to 850.46, 1,275.78 and 417.74

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Solution

The fourth proportional to 850.46, 1,275.78 and 417.74 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.46 : 1,275.78 = 417.74 : x
  2. Step 2: Convert to fraction form
    850.46/1,275.78 = 417.74/x
  3. Step 3: Cross multiply
    850.46x = 1,275.78 × 417.74
  4. Step 4: Simplify right side
    850.46x = 532,944.34
  5. Step 5: Solve for x
    x = 532,944.34/850.46
  6. Step 6: Final answer
    x = 626.65

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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.