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Finding the Fourth Proportional to 560.43, 839.43 and 451.68

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Solution

The fourth proportional to 560.43, 839.43 and 451.68 is: 676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.43 : 839.43 = 451.68 : x
  2. Step 2: Convert to fraction form
    560.43/839.43 = 451.68/x
  3. Step 3: Cross multiply
    560.43x = 839.43 × 451.68
  4. Step 4: Simplify right side
    560.43x = 379,153.74
  5. Step 5: Solve for x
    x = 379,153.74/560.43
  6. Step 6: Final answer
    x = 676.54

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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.