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Finding the Fourth Proportional to 821.86, 1,134.03 and 527.07

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Solution

The fourth proportional to 821.86, 1,134.03 and 527.07 is: 727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,134.03 = 527.07 : x
  2. Step 2: Convert to fraction form
    821.86/1,134.03 = 527.07/x
  3. Step 3: Cross multiply
    821.86x = 1,134.03 × 527.07
  4. Step 4: Simplify right side
    821.86x = 597,713.19
  5. Step 5: Solve for x
    x = 597,713.19/821.86
  6. Step 6: Final answer
    x = 727.27

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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.