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Finding the Fourth Proportional to 560.68, 768.89 and 552.04

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Solution

The fourth proportional to 560.68, 768.89 and 552.04 is: 757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.68 : 768.89 = 552.04 : x
  2. Step 2: Convert to fraction form
    560.68/768.89 = 552.04/x
  3. Step 3: Cross multiply
    560.68x = 768.89 × 552.04
  4. Step 4: Simplify right side
    560.68x = 424,458.04
  5. Step 5: Solve for x
    x = 424,458.04/560.68
  6. Step 6: Final answer
    x = 757.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.