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Finding the Fourth Proportional to 617.70, 847.89 and 546.20

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Solution

The fourth proportional to 617.70, 847.89 and 546.20 is: 749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 847.89 = 546.20 : x
  2. Step 2: Convert to fraction form
    617.70/847.89 = 546.20/x
  3. Step 3: Cross multiply
    617.70x = 847.89 × 546.20
  4. Step 4: Simplify right side
    617.70x = 463,113.28
  5. Step 5: Solve for x
    x = 463,113.28/617.70
  6. Step 6: Final answer
    x = 749.74

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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.