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Finding the Fourth Proportional to 951.57, 1,421.09 and 821.84

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Solution

The fourth proportional to 951.57, 1,421.09 and 821.84 is: 1,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.57 : 1,421.09 = 821.84 : x
  2. Step 2: Convert to fraction form
    951.57/1,421.09 = 821.84/x
  3. Step 3: Cross multiply
    951.57x = 1,421.09 × 821.84
  4. Step 4: Simplify right side
    951.57x = 1,167,897.39
  5. Step 5: Solve for x
    x = 1,167,897.39/951.57
  6. Step 6: Final answer
    x = 1,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.