Home / 1,438.52-2,155.95-822.56

Finding the Fourth Proportional to 1,438.52, 2,155.95 and 822.56

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Solution

The fourth proportional to 1,438.52, 2,155.95 and 822.56 is: 1,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.52 : 2,155.95 = 822.56 : x
  2. Step 2: Convert to fraction form
    1,438.52/2,155.95 = 822.56/x
  3. Step 3: Cross multiply
    1,438.52x = 2,155.95 × 822.56
  4. Step 4: Simplify right side
    1,438.52x = 1,773,387.45
  5. Step 5: Solve for x
    x = 1,773,387.45/1,438.52
  6. Step 6: Final answer
    x = 1,232.79

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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.