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Finding the Fourth Proportional to 560.96, 839.57 and 512.29

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Solution

The fourth proportional to 560.96, 839.57 and 512.29 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 839.57 = 512.29 : x
  2. Step 2: Convert to fraction form
    560.96/839.57 = 512.29/x
  3. Step 3: Cross multiply
    560.96x = 839.57 × 512.29
  4. Step 4: Simplify right side
    560.96x = 430,101.80
  5. Step 5: Solve for x
    x = 430,101.80/560.96
  6. Step 6: Final answer
    x = 766.73

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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.