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Finding the Fourth Proportional to 821.62, 1,133.94 and 601.30

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Solution

The fourth proportional to 821.62, 1,133.94 and 601.30 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.62 : 1,133.94 = 601.30 : x
  2. Step 2: Convert to fraction form
    821.62/1,133.94 = 601.30/x
  3. Step 3: Cross multiply
    821.62x = 1,133.94 × 601.30
  4. Step 4: Simplify right side
    821.62x = 681,838.12
  5. Step 5: Solve for x
    x = 681,838.12/821.62
  6. Step 6: Final answer
    x = 829.87

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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.