Home / 1,011.24-1,516.35-394.78

Finding the Fourth Proportional to 1,011.24, 1,516.35 and 394.78

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Solution

The fourth proportional to 1,011.24, 1,516.35 and 394.78 is: 591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.24 : 1,516.35 = 394.78 : x
  2. Step 2: Convert to fraction form
    1,011.24/1,516.35 = 394.78/x
  3. Step 3: Cross multiply
    1,011.24x = 1,516.35 × 394.78
  4. Step 4: Simplify right side
    1,011.24x = 598,624.17
  5. Step 5: Solve for x
    x = 598,624.17/1,011.24
  6. Step 6: Final answer
    x = 591.97

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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.