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Finding the Fourth Proportional to 1,151.89, 1,728.74 and 421.67

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Solution

The fourth proportional to 1,151.89, 1,728.74 and 421.67 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.89 : 1,728.74 = 421.67 : x
  2. Step 2: Convert to fraction form
    1,151.89/1,728.74 = 421.67/x
  3. Step 3: Cross multiply
    1,151.89x = 1,728.74 × 421.67
  4. Step 4: Simplify right side
    1,151.89x = 728,963.17
  5. Step 5: Solve for x
    x = 728,963.17/1,151.89
  6. Step 6: Final answer
    x = 632.84

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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.