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Finding the Fourth Proportional to 560.46, 834.78 and 548.46

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Solution

The fourth proportional to 560.46, 834.78 and 548.46 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 834.78 = 548.46 : x
  2. Step 2: Convert to fraction form
    560.46/834.78 = 548.46/x
  3. Step 3: Cross multiply
    560.46x = 834.78 × 548.46
  4. Step 4: Simplify right side
    560.46x = 457,843.44
  5. Step 5: Solve for x
    x = 457,843.44/560.46
  6. Step 6: Final answer
    x = 816.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.