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Finding the Fourth Proportional to 886.53, 1,332.68 and 821.84

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Solution

The fourth proportional to 886.53, 1,332.68 and 821.84 is: 1,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.53 : 1,332.68 = 821.84 : x
  2. Step 2: Convert to fraction form
    886.53/1,332.68 = 821.84/x
  3. Step 3: Cross multiply
    886.53x = 1,332.68 × 821.84
  4. Step 4: Simplify right side
    886.53x = 1,095,238.96
  5. Step 5: Solve for x
    x = 1,095,238.96/886.53
  6. Step 6: Final answer
    x = 1,235.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.