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Finding the Fourth Proportional to 716.46, 1,074.60 and 442.05

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Solution

The fourth proportional to 716.46, 1,074.60 and 442.05 is: 663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.46 : 1,074.60 = 442.05 : x
  2. Step 2: Convert to fraction form
    716.46/1,074.60 = 442.05/x
  3. Step 3: Cross multiply
    716.46x = 1,074.60 × 442.05
  4. Step 4: Simplify right side
    716.46x = 475,026.93
  5. Step 5: Solve for x
    x = 475,026.93/716.46
  6. Step 6: Final answer
    x = 663.02

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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.