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Finding the Fourth Proportional to 873.32, 1,204.68 and 674

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Solution

The fourth proportional to 873.32, 1,204.68 and 674 is: 929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.32 : 1,204.68 = 674 : x
  2. Step 2: Convert to fraction form
    873.32/1,204.68 = 674/x
  3. Step 3: Cross multiply
    873.32x = 1,204.68 × 674
  4. Step 4: Simplify right side
    873.32x = 811,954.32
  5. Step 5: Solve for x
    x = 811,954.32/873.32
  6. Step 6: Final answer
    x = 929.73

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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.