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Finding the Fourth Proportional to 754.66, 1,037.96 and 606.96

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Solution

The fourth proportional to 754.66, 1,037.96 and 606.96 is: 834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.66 : 1,037.96 = 606.96 : x
  2. Step 2: Convert to fraction form
    754.66/1,037.96 = 606.96/x
  3. Step 3: Cross multiply
    754.66x = 1,037.96 × 606.96
  4. Step 4: Simplify right side
    754.66x = 630,000.20
  5. Step 5: Solve for x
    x = 630,000.20/754.66
  6. Step 6: Final answer
    x = 834.81

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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.