Home / 1,022.35-1,532.96-319.36

Finding the Fourth Proportional to 1,022.35, 1,532.96 and 319.36

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Solution

The fourth proportional to 1,022.35, 1,532.96 and 319.36 is: 478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.35 : 1,532.96 = 319.36 : x
  2. Step 2: Convert to fraction form
    1,022.35/1,532.96 = 319.36/x
  3. Step 3: Cross multiply
    1,022.35x = 1,532.96 × 319.36
  4. Step 4: Simplify right side
    1,022.35x = 489,567.62
  5. Step 5: Solve for x
    x = 489,567.62/1,022.35
  6. Step 6: Final answer
    x = 478.87

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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.