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Finding the Fourth Proportional to 560.81, 841.82 and 344.94

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Solution

The fourth proportional to 560.81, 841.82 and 344.94 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.81 : 841.82 = 344.94 : x
  2. Step 2: Convert to fraction form
    560.81/841.82 = 344.94/x
  3. Step 3: Cross multiply
    560.81x = 841.82 × 344.94
  4. Step 4: Simplify right side
    560.81x = 290,375.67
  5. Step 5: Solve for x
    x = 290,375.67/560.81
  6. Step 6: Final answer
    x = 517.78

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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.