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Finding the Fourth Proportional to 950.04, 1,421.71 and 821.55

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Solution

The fourth proportional to 950.04, 1,421.71 and 821.55 is: 1,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,421.71 = 821.55 : x
  2. Step 2: Convert to fraction form
    950.04/1,421.71 = 821.55/x
  3. Step 3: Cross multiply
    950.04x = 1,421.71 × 821.55
  4. Step 4: Simplify right side
    950.04x = 1,168,005.85
  5. Step 5: Solve for x
    x = 1,168,005.85/950.04
  6. Step 6: Final answer
    x = 1,229.43

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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.