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Finding the Fourth Proportional to 821.56, 1,133.64 and 527.23

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Solution

The fourth proportional to 821.56, 1,133.64 and 527.23 is: 727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.56 : 1,133.64 = 527.23 : x
  2. Step 2: Convert to fraction form
    821.56/1,133.64 = 527.23/x
  3. Step 3: Cross multiply
    821.56x = 1,133.64 × 527.23
  4. Step 4: Simplify right side
    821.56x = 597,686.18
  5. Step 5: Solve for x
    x = 597,686.18/821.56
  6. Step 6: Final answer
    x = 727.50

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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.