Home / 1,151.30-1,727.21-420.87

Finding the Fourth Proportional to 1,151.30, 1,727.21 and 420.87

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Solution

The fourth proportional to 1,151.30, 1,727.21 and 420.87 is: 631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.30 : 1,727.21 = 420.87 : x
  2. Step 2: Convert to fraction form
    1,151.30/1,727.21 = 420.87/x
  3. Step 3: Cross multiply
    1,151.30x = 1,727.21 × 420.87
  4. Step 4: Simplify right side
    1,151.30x = 726,930.87
  5. Step 5: Solve for x
    x = 726,930.87/1,151.30
  6. Step 6: Final answer
    x = 631.40

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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.