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Finding the Fourth Proportional to 1,277.87, 1,916.78 and 498.20

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Solution

The fourth proportional to 1,277.87, 1,916.78 and 498.20 is: 747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.87 : 1,916.78 = 498.20 : x
  2. Step 2: Convert to fraction form
    1,277.87/1,916.78 = 498.20/x
  3. Step 3: Cross multiply
    1,277.87x = 1,916.78 × 498.20
  4. Step 4: Simplify right side
    1,277.87x = 954,927.72
  5. Step 5: Solve for x
    x = 954,927.72/1,277.87
  6. Step 6: Final answer
    x = 747.28

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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.