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Finding the Fourth Proportional to 679.76, 1,018.56 and 571.76

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Solution

The fourth proportional to 679.76, 1,018.56 and 571.76 is: 856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 1,018.56 = 571.76 : x
  2. Step 2: Convert to fraction form
    679.76/1,018.56 = 571.76/x
  3. Step 3: Cross multiply
    679.76x = 1,018.56 × 571.76
  4. Step 4: Simplify right side
    679.76x = 582,371.87
  5. Step 5: Solve for x
    x = 582,371.87/679.76
  6. Step 6: Final answer
    x = 856.73

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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.