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Finding the Fourth Proportional to 716.37, 1,074.47 and 305.43

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Solution

The fourth proportional to 716.37, 1,074.47 and 305.43 is: 458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.37 : 1,074.47 = 305.43 : x
  2. Step 2: Convert to fraction form
    716.37/1,074.47 = 305.43/x
  3. Step 3: Cross multiply
    716.37x = 1,074.47 × 305.43
  4. Step 4: Simplify right side
    716.37x = 328,173.84
  5. Step 5: Solve for x
    x = 328,173.84/716.37
  6. Step 6: Final answer
    x = 458.11

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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.