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Finding the Fourth Proportional to 674.78, 1,011.08 and 566.78

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Solution

The fourth proportional to 674.78, 1,011.08 and 566.78 is: 849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.78 : 1,011.08 = 566.78 : x
  2. Step 2: Convert to fraction form
    674.78/1,011.08 = 566.78/x
  3. Step 3: Cross multiply
    674.78x = 1,011.08 × 566.78
  4. Step 4: Simplify right side
    674.78x = 573,056.28
  5. Step 5: Solve for x
    x = 573,056.28/674.78
  6. Step 6: Final answer
    x = 849.26

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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.