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Finding the Fourth Proportional to 833.20, 1,154.68 and 821.46

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Solution

The fourth proportional to 833.20, 1,154.68 and 821.46 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.20 : 1,154.68 = 821.46 : x
  2. Step 2: Convert to fraction form
    833.20/1,154.68 = 821.46/x
  3. Step 3: Cross multiply
    833.20x = 1,154.68 × 821.46
  4. Step 4: Simplify right side
    833.20x = 948,513.55
  5. Step 5: Solve for x
    x = 948,513.55/833.20
  6. Step 6: Final answer
    x = 1,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.