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Finding the Fourth Proportional to 561.87, 769.77 and 560.25

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Solution

The fourth proportional to 561.87, 769.77 and 560.25 is: 767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 769.77 = 560.25 : x
  2. Step 2: Convert to fraction form
    561.87/769.77 = 560.25/x
  3. Step 3: Cross multiply
    561.87x = 769.77 × 560.25
  4. Step 4: Simplify right side
    561.87x = 431,263.64
  5. Step 5: Solve for x
    x = 431,263.64/561.87
  6. Step 6: Final answer
    x = 767.55

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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.