Home / 1,284.22-1,926.25-543.52

Finding the Fourth Proportional to 1,284.22, 1,926.25 and 543.52

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Solution

The fourth proportional to 1,284.22, 1,926.25 and 543.52 is: 815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.22 : 1,926.25 = 543.52 : x
  2. Step 2: Convert to fraction form
    1,284.22/1,926.25 = 543.52/x
  3. Step 3: Cross multiply
    1,284.22x = 1,926.25 × 543.52
  4. Step 4: Simplify right side
    1,284.22x = 1,046,955.40
  5. Step 5: Solve for x
    x = 1,046,955.40/1,284.22
  6. Step 6: Final answer
    x = 815.25

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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.