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Finding the Fourth Proportional to 617.70, 851.67 and 543.90

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Solution

The fourth proportional to 617.70, 851.67 and 543.90 is: 749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 851.67 = 543.90 : x
  2. Step 2: Convert to fraction form
    617.70/851.67 = 543.90/x
  3. Step 3: Cross multiply
    617.70x = 851.67 × 543.90
  4. Step 4: Simplify right side
    617.70x = 463,223.31
  5. Step 5: Solve for x
    x = 463,223.31/617.70
  6. Step 6: Final answer
    x = 749.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.