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Finding the Fourth Proportional to 1,151.81, 1,728.47 and 421.38

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Solution

The fourth proportional to 1,151.81, 1,728.47 and 421.38 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.81 : 1,728.47 = 421.38 : x
  2. Step 2: Convert to fraction form
    1,151.81/1,728.47 = 421.38/x
  3. Step 3: Cross multiply
    1,151.81x = 1,728.47 × 421.38
  4. Step 4: Simplify right side
    1,151.81x = 728,340.58
  5. Step 5: Solve for x
    x = 728,340.58/1,151.81
  6. Step 6: Final answer
    x = 632.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.