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Finding the Fourth Proportional to 1,151.80, 1,728.17 and 421.99

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Solution

The fourth proportional to 1,151.80, 1,728.17 and 421.99 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.80 : 1,728.17 = 421.99 : x
  2. Step 2: Convert to fraction form
    1,151.80/1,728.17 = 421.99/x
  3. Step 3: Cross multiply
    1,151.80x = 1,728.17 × 421.99
  4. Step 4: Simplify right side
    1,151.80x = 729,270.46
  5. Step 5: Solve for x
    x = 729,270.46/1,151.80
  6. Step 6: Final answer
    x = 633.16

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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.