Home / 1,515.95-2,272.79-822.49

Finding the Fourth Proportional to 1,515.95, 2,272.79 and 822.49

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Solution

The fourth proportional to 1,515.95, 2,272.79 and 822.49 is: 1,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.95 : 2,272.79 = 822.49 : x
  2. Step 2: Convert to fraction form
    1,515.95/2,272.79 = 822.49/x
  3. Step 3: Cross multiply
    1,515.95x = 2,272.79 × 822.49
  4. Step 4: Simplify right side
    1,515.95x = 1,869,347.05
  5. Step 5: Solve for x
    x = 1,869,347.05/1,515.95
  6. Step 6: Final answer
    x = 1,233.12

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1.5x scale

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.