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Finding the Fourth Proportional to 560.82, 839.34 and 344.55

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Solution

The fourth proportional to 560.82, 839.34 and 344.55 is: 515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 839.34 = 344.55 : x
  2. Step 2: Convert to fraction form
    560.82/839.34 = 344.55/x
  3. Step 3: Cross multiply
    560.82x = 839.34 × 344.55
  4. Step 4: Simplify right side
    560.82x = 289,194.60
  5. Step 5: Solve for x
    x = 289,194.60/560.82
  6. Step 6: Final answer
    x = 515.66

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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.