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Finding the Fourth Proportional to 821.34, 1,132.18 and 688.50

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Solution

The fourth proportional to 821.34, 1,132.18 and 688.50 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.34 : 1,132.18 = 688.50 : x
  2. Step 2: Convert to fraction form
    821.34/1,132.18 = 688.50/x
  3. Step 3: Cross multiply
    821.34x = 1,132.18 × 688.50
  4. Step 4: Simplify right side
    821.34x = 779,504.21
  5. Step 5: Solve for x
    x = 779,504.21/821.34
  6. Step 6: Final answer
    x = 949.06

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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.