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Finding the Fourth Proportional to 974.34, 1,343.63 and 638.35

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Solution

The fourth proportional to 974.34, 1,343.63 and 638.35 is: 880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.34 : 1,343.63 = 638.35 : x
  2. Step 2: Convert to fraction form
    974.34/1,343.63 = 638.35/x
  3. Step 3: Cross multiply
    974.34x = 1,343.63 × 638.35
  4. Step 4: Simplify right side
    974.34x = 857,709.49
  5. Step 5: Solve for x
    x = 857,709.49/974.34
  6. Step 6: Final answer
    x = 880.29

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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.