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Finding the Fourth Proportional to 973.42, 1,344.78 and 638.12

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Solution

The fourth proportional to 973.42, 1,344.78 and 638.12 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.42 : 1,344.78 = 638.12 : x
  2. Step 2: Convert to fraction form
    973.42/1,344.78 = 638.12/x
  3. Step 3: Cross multiply
    973.42x = 1,344.78 × 638.12
  4. Step 4: Simplify right side
    973.42x = 858,124.29
  5. Step 5: Solve for x
    x = 858,124.29/973.42
  6. Step 6: Final answer
    x = 881.56

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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.