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Finding the Fourth Proportional to 716.47, 1,074.88 and 277.78

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Solution

The fourth proportional to 716.47, 1,074.88 and 277.78 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.47 : 1,074.88 = 277.78 : x
  2. Step 2: Convert to fraction form
    716.47/1,074.88 = 277.78/x
  3. Step 3: Cross multiply
    716.47x = 1,074.88 × 277.78
  4. Step 4: Simplify right side
    716.47x = 298,580.17
  5. Step 5: Solve for x
    x = 298,580.17/716.47
  6. Step 6: Final answer
    x = 416.74

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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.