Home / 1,057.20-1,584.16-440.76

Finding the Fourth Proportional to 1,057.20, 1,584.16 and 440.76

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Solution

The fourth proportional to 1,057.20, 1,584.16 and 440.76 is: 660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.20 : 1,584.16 = 440.76 : x
  2. Step 2: Convert to fraction form
    1,057.20/1,584.16 = 440.76/x
  3. Step 3: Cross multiply
    1,057.20x = 1,584.16 × 440.76
  4. Step 4: Simplify right side
    1,057.20x = 698,234.36
  5. Step 5: Solve for x
    x = 698,234.36/1,057.20
  6. Step 6: Final answer
    x = 660.46

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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.