Home / 1,277.57-1,916.49-547.22

Finding the Fourth Proportional to 1,277.57, 1,916.49 and 547.22

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Solution

The fourth proportional to 1,277.57, 1,916.49 and 547.22 is: 820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.57 : 1,916.49 = 547.22 : x
  2. Step 2: Convert to fraction form
    1,277.57/1,916.49 = 547.22/x
  3. Step 3: Cross multiply
    1,277.57x = 1,916.49 × 547.22
  4. Step 4: Simplify right side
    1,277.57x = 1,048,732.08
  5. Step 5: Solve for x
    x = 1,048,732.08/1,277.57
  6. Step 6: Final answer
    x = 820.88

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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.