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Finding the Fourth Proportional to 1,006.62, 1,388.78 and 674.94

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Solution

The fourth proportional to 1,006.62, 1,388.78 and 674.94 is: 931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.62 : 1,388.78 = 674.94 : x
  2. Step 2: Convert to fraction form
    1,006.62/1,388.78 = 674.94/x
  3. Step 3: Cross multiply
    1,006.62x = 1,388.78 × 674.94
  4. Step 4: Simplify right side
    1,006.62x = 937,343.17
  5. Step 5: Solve for x
    x = 937,343.17/1,006.62
  6. Step 6: Final answer
    x = 931.18

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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.