Home / 1,278.46-1,918.22-538.24

Finding the Fourth Proportional to 1,278.46, 1,918.22 and 538.24

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Solution

The fourth proportional to 1,278.46, 1,918.22 and 538.24 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.46 : 1,918.22 = 538.24 : x
  2. Step 2: Convert to fraction form
    1,278.46/1,918.22 = 538.24/x
  3. Step 3: Cross multiply
    1,278.46x = 1,918.22 × 538.24
  4. Step 4: Simplify right side
    1,278.46x = 1,032,462.73
  5. Step 5: Solve for x
    x = 1,032,462.73/1,278.46
  6. Step 6: Final answer
    x = 807.58

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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.