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Finding the Fourth Proportional to 1,151.94, 1,728.42 and 421.63

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Solution

The fourth proportional to 1,151.94, 1,728.42 and 421.63 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.94 : 1,728.42 = 421.63 : x
  2. Step 2: Convert to fraction form
    1,151.94/1,728.42 = 421.63/x
  3. Step 3: Cross multiply
    1,151.94x = 1,728.42 × 421.63
  4. Step 4: Simplify right side
    1,151.94x = 728,749.40
  5. Step 5: Solve for x
    x = 728,749.40/1,151.94
  6. Step 6: Final answer
    x = 632.63

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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.