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Finding the Fourth Proportional to 674.46, 1,009.62 and 467.82

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Solution

The fourth proportional to 674.46, 1,009.62 and 467.82 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 1,009.62 = 467.82 : x
  2. Step 2: Convert to fraction form
    674.46/1,009.62 = 467.82/x
  3. Step 3: Cross multiply
    674.46x = 1,009.62 × 467.82
  4. Step 4: Simplify right side
    674.46x = 472,320.43
  5. Step 5: Solve for x
    x = 472,320.43/674.46
  6. Step 6: Final answer
    x = 700.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.