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Finding the Fourth Proportional to 716.90, 1,076.56 and 473.90

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Solution

The fourth proportional to 716.90, 1,076.56 and 473.90 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.90 : 1,076.56 = 473.90 : x
  2. Step 2: Convert to fraction form
    716.90/1,076.56 = 473.90/x
  3. Step 3: Cross multiply
    716.90x = 1,076.56 × 473.90
  4. Step 4: Simplify right side
    716.90x = 510,181.78
  5. Step 5: Solve for x
    x = 510,181.78/716.90
  6. Step 6: Final answer
    x = 711.65

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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.