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Finding the Fourth Proportional to 856.75, 1,283.21 and 560.68

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Solution

The fourth proportional to 856.75, 1,283.21 and 560.68 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,283.21 = 560.68 : x
  2. Step 2: Convert to fraction form
    856.75/1,283.21 = 560.68/x
  3. Step 3: Cross multiply
    856.75x = 1,283.21 × 560.68
  4. Step 4: Simplify right side
    856.75x = 719,476.48
  5. Step 5: Solve for x
    x = 719,476.48/856.75
  6. Step 6: Final answer
    x = 839.78

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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.