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Finding the Fourth Proportional to 821.34, 1,131.66 and 558.90

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Solution

The fourth proportional to 821.34, 1,131.66 and 558.90 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.34 : 1,131.66 = 558.90 : x
  2. Step 2: Convert to fraction form
    821.34/1,131.66 = 558.90/x
  3. Step 3: Cross multiply
    821.34x = 1,131.66 × 558.90
  4. Step 4: Simplify right side
    821.34x = 632,484.77
  5. Step 5: Solve for x
    x = 632,484.77/821.34
  6. Step 6: Final answer
    x = 770.06

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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.