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Finding the Fourth Proportional to 716.90, 1,074.60 and 278.01

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Solution

The fourth proportional to 716.90, 1,074.60 and 278.01 is: 416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.90 : 1,074.60 = 278.01 : x
  2. Step 2: Convert to fraction form
    716.90/1,074.60 = 278.01/x
  3. Step 3: Cross multiply
    716.90x = 1,074.60 × 278.01
  4. Step 4: Simplify right side
    716.90x = 298,749.55
  5. Step 5: Solve for x
    x = 298,749.55/716.90
  6. Step 6: Final answer
    x = 416.73

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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.