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Finding the Fourth Proportional to 620.46, 851.61 and 557.58

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Solution

The fourth proportional to 620.46, 851.61 and 557.58 is: 765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.46 : 851.61 = 557.58 : x
  2. Step 2: Convert to fraction form
    620.46/851.61 = 557.58/x
  3. Step 3: Cross multiply
    620.46x = 851.61 × 557.58
  4. Step 4: Simplify right side
    620.46x = 474,840.70
  5. Step 5: Solve for x
    x = 474,840.70/620.46
  6. Step 6: Final answer
    x = 765.30

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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.