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Finding the Fourth Proportional to 617.10, 820.10 and 617.10

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Solution

The fourth proportional to 617.10, 820.10 and 617.10 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 820.10 = 617.10 : x
  2. Step 2: Convert to fraction form
    617.10/820.10 = 617.10/x
  3. Step 3: Cross multiply
    617.10x = 820.10 × 617.10
  4. Step 4: Simplify right side
    617.10x = 506,080.62
  5. Step 5: Solve for x
    x = 506,080.62/617.10
  6. Step 6: Final answer
    x = 820.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.