Home / 1,020.66-1,531.08-327.35

Finding the Fourth Proportional to 1,020.66, 1,531.08 and 327.35

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Solution

The fourth proportional to 1,020.66, 1,531.08 and 327.35 is: 491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.66 : 1,531.08 = 327.35 : x
  2. Step 2: Convert to fraction form
    1,020.66/1,531.08 = 327.35/x
  3. Step 3: Cross multiply
    1,020.66x = 1,531.08 × 327.35
  4. Step 4: Simplify right side
    1,020.66x = 501,191.38
  5. Step 5: Solve for x
    x = 501,191.38/1,020.66
  6. Step 6: Final answer
    x = 491.05

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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.