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Finding the Fourth Proportional to 974.20, 1,341.29 and 907.96

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Solution

The fourth proportional to 974.20, 1,341.29 and 907.96 is: 1,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.20 : 1,341.29 = 907.96 : x
  2. Step 2: Convert to fraction form
    974.20/1,341.29 = 907.96/x
  3. Step 3: Cross multiply
    974.20x = 1,341.29 × 907.96
  4. Step 4: Simplify right side
    974.20x = 1,217,837.67
  5. Step 5: Solve for x
    x = 1,217,837.67/974.20
  6. Step 6: Final answer
    x = 1,250.09

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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.