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Finding the Fourth Proportional to 821.54, 1,133.83 and 526.70

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Solution

The fourth proportional to 821.54, 1,133.83 and 526.70 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.54 : 1,133.83 = 526.70 : x
  2. Step 2: Convert to fraction form
    821.54/1,133.83 = 526.70/x
  3. Step 3: Cross multiply
    821.54x = 1,133.83 × 526.70
  4. Step 4: Simplify right side
    821.54x = 597,191.75
  5. Step 5: Solve for x
    x = 597,191.75/821.54
  6. Step 6: Final answer
    x = 726.92

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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.