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Finding the Fourth Proportional to 821.19, 1,134.29 and 630.98

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Solution

The fourth proportional to 821.19, 1,134.29 and 630.98 is: 871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.19 : 1,134.29 = 630.98 : x
  2. Step 2: Convert to fraction form
    821.19/1,134.29 = 630.98/x
  3. Step 3: Cross multiply
    821.19x = 1,134.29 × 630.98
  4. Step 4: Simplify right side
    821.19x = 715,720.16
  5. Step 5: Solve for x
    x = 715,720.16/821.19
  6. Step 6: Final answer
    x = 871.56

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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.