Home / 1,278.09-1,916.73-547.20

Finding the Fourth Proportional to 1,278.09, 1,916.73 and 547.20

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Solution

The fourth proportional to 1,278.09, 1,916.73 and 547.20 is: 820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.09 : 1,916.73 = 547.20 : x
  2. Step 2: Convert to fraction form
    1,278.09/1,916.73 = 547.20/x
  3. Step 3: Cross multiply
    1,278.09x = 1,916.73 × 547.20
  4. Step 4: Simplify right side
    1,278.09x = 1,048,834.66
  5. Step 5: Solve for x
    x = 1,048,834.66/1,278.09
  6. Step 6: Final answer
    x = 820.63

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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.