Home / 1,308.28-1,962.72-538.78

Finding the Fourth Proportional to 1,308.28, 1,962.72 and 538.78

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Solution

The fourth proportional to 1,308.28, 1,962.72 and 538.78 is: 808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.28 : 1,962.72 = 538.78 : x
  2. Step 2: Convert to fraction form
    1,308.28/1,962.72 = 538.78/x
  3. Step 3: Cross multiply
    1,308.28x = 1,962.72 × 538.78
  4. Step 4: Simplify right side
    1,308.28x = 1,057,474.28
  5. Step 5: Solve for x
    x = 1,057,474.28/1,308.28
  6. Step 6: Final answer
    x = 808.29

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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.