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Finding the Fourth Proportional to 561.51, 839.21 and 517.74

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Solution

The fourth proportional to 561.51, 839.21 and 517.74 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.51 : 839.21 = 517.74 : x
  2. Step 2: Convert to fraction form
    561.51/839.21 = 517.74/x
  3. Step 3: Cross multiply
    561.51x = 839.21 × 517.74
  4. Step 4: Simplify right side
    561.51x = 434,492.59
  5. Step 5: Solve for x
    x = 434,492.59/561.51
  6. Step 6: Final answer
    x = 773.79

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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.