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Finding the Fourth Proportional to 1,461.52, 2,191.95 and 421.29

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Solution

The fourth proportional to 1,461.52, 2,191.95 and 421.29 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.52 : 2,191.95 = 421.29 : x
  2. Step 2: Convert to fraction form
    1,461.52/2,191.95 = 421.29/x
  3. Step 3: Cross multiply
    1,461.52x = 2,191.95 × 421.29
  4. Step 4: Simplify right side
    1,461.52x = 923,433.55
  5. Step 5: Solve for x
    x = 923,433.55/1,461.52
  6. Step 6: Final answer
    x = 631.83

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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.