Home / 1,277.78-1,917.14-498.15

Finding the Fourth Proportional to 1,277.78, 1,917.14 and 498.15

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Solution

The fourth proportional to 1,277.78, 1,917.14 and 498.15 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.78 : 1,917.14 = 498.15 : x
  2. Step 2: Convert to fraction form
    1,277.78/1,917.14 = 498.15/x
  3. Step 3: Cross multiply
    1,277.78x = 1,917.14 × 498.15
  4. Step 4: Simplify right side
    1,277.78x = 955,020.80
  5. Step 5: Solve for x
    x = 955,020.80/1,277.78
  6. Step 6: Final answer
    x = 747.41

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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.