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Finding the Fourth Proportional to 821.88, 1,134.90 and 527.94

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Solution

The fourth proportional to 821.88, 1,134.90 and 527.94 is: 729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,134.90 = 527.94 : x
  2. Step 2: Convert to fraction form
    821.88/1,134.90 = 527.94/x
  3. Step 3: Cross multiply
    821.88x = 1,134.90 × 527.94
  4. Step 4: Simplify right side
    821.88x = 599,159.11
  5. Step 5: Solve for x
    x = 599,159.11/821.88
  6. Step 6: Final answer
    x = 729.01

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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.