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Finding the Fourth Proportional to 675.78, 1,006.69 and 655.38

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Solution

The fourth proportional to 675.78, 1,006.69 and 655.38 is: 976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 1,006.69 = 655.38 : x
  2. Step 2: Convert to fraction form
    675.78/1,006.69 = 655.38/x
  3. Step 3: Cross multiply
    675.78x = 1,006.69 × 655.38
  4. Step 4: Simplify right side
    675.78x = 659,764.49
  5. Step 5: Solve for x
    x = 659,764.49/675.78
  6. Step 6: Final answer
    x = 976.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.