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Finding the Fourth Proportional to 560.42, 839.68 and 343.55

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Solution

The fourth proportional to 560.42, 839.68 and 343.55 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 839.68 = 343.55 : x
  2. Step 2: Convert to fraction form
    560.42/839.68 = 343.55/x
  3. Step 3: Cross multiply
    560.42x = 839.68 × 343.55
  4. Step 4: Simplify right side
    560.42x = 288,472.06
  5. Step 5: Solve for x
    x = 288,472.06/560.42
  6. Step 6: Final answer
    x = 514.74

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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.