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Finding the Fourth Proportional to 821.85, 1,134.62 and 541.98

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Solution

The fourth proportional to 821.85, 1,134.62 and 541.98 is: 748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,134.62 = 541.98 : x
  2. Step 2: Convert to fraction form
    821.85/1,134.62 = 541.98/x
  3. Step 3: Cross multiply
    821.85x = 1,134.62 × 541.98
  4. Step 4: Simplify right side
    821.85x = 614,940.67
  5. Step 5: Solve for x
    x = 614,940.67/821.85
  6. Step 6: Final answer
    x = 748.24

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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.