Home / 1,581.72-2,371.12-607.56

Finding the Fourth Proportional to 1,581.72, 2,371.12 and 607.56

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Solution

The fourth proportional to 1,581.72, 2,371.12 and 607.56 is: 910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.72 : 2,371.12 = 607.56 : x
  2. Step 2: Convert to fraction form
    1,581.72/2,371.12 = 607.56/x
  3. Step 3: Cross multiply
    1,581.72x = 2,371.12 × 607.56
  4. Step 4: Simplify right side
    1,581.72x = 1,440,597.67
  5. Step 5: Solve for x
    x = 1,440,597.67/1,581.72
  6. Step 6: Final answer
    x = 910.78

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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.