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Finding the Fourth Proportional to 561.10, 836.35 and 517.36

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Solution

The fourth proportional to 561.10, 836.35 and 517.36 is: 771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 836.35 = 517.36 : x
  2. Step 2: Convert to fraction form
    561.10/836.35 = 517.36/x
  3. Step 3: Cross multiply
    561.10x = 836.35 × 517.36
  4. Step 4: Simplify right side
    561.10x = 432,694.04
  5. Step 5: Solve for x
    x = 432,694.04/561.10
  6. Step 6: Final answer
    x = 771.15

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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.