Home / 1,500.81-2,251.31-405.20

Finding the Fourth Proportional to 1,500.81, 2,251.31 and 405.20

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Solution

The fourth proportional to 1,500.81, 2,251.31 and 405.20 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.81 : 2,251.31 = 405.20 : x
  2. Step 2: Convert to fraction form
    1,500.81/2,251.31 = 405.20/x
  3. Step 3: Cross multiply
    1,500.81x = 2,251.31 × 405.20
  4. Step 4: Simplify right side
    1,500.81x = 912,217.53
  5. Step 5: Solve for x
    x = 912,217.53/1,500.81
  6. Step 6: Final answer
    x = 607.82

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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.