Home / 1,287.24-1,930.34-593.76

Finding the Fourth Proportional to 1,287.24, 1,930.34 and 593.76

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Solution

The fourth proportional to 1,287.24, 1,930.34 and 593.76 is: 890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.24 : 1,930.34 = 593.76 : x
  2. Step 2: Convert to fraction form
    1,287.24/1,930.34 = 593.76/x
  3. Step 3: Cross multiply
    1,287.24x = 1,930.34 × 593.76
  4. Step 4: Simplify right side
    1,287.24x = 1,146,158.68
  5. Step 5: Solve for x
    x = 1,146,158.68/1,287.24
  6. Step 6: Final answer
    x = 890.40

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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.