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Finding the Fourth Proportional to 994.68, 1,372.68 and 645.12

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Solution

The fourth proportional to 994.68, 1,372.68 and 645.12 is: 890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,372.68 = 645.12 : x
  2. Step 2: Convert to fraction form
    994.68/1,372.68 = 645.12/x
  3. Step 3: Cross multiply
    994.68x = 1,372.68 × 645.12
  4. Step 4: Simplify right side
    994.68x = 885,543.32
  5. Step 5: Solve for x
    x = 885,543.32/994.68
  6. Step 6: Final answer
    x = 890.28

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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.