Home / 1,278.60-1,916.76-499.14

Finding the Fourth Proportional to 1,278.60, 1,916.76 and 499.14

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Solution

The fourth proportional to 1,278.60, 1,916.76 and 499.14 is: 748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.60 : 1,916.76 = 499.14 : x
  2. Step 2: Convert to fraction form
    1,278.60/1,916.76 = 499.14/x
  3. Step 3: Cross multiply
    1,278.60x = 1,916.76 × 499.14
  4. Step 4: Simplify right side
    1,278.60x = 956,731.59
  5. Step 5: Solve for x
    x = 956,731.59/1,278.60
  6. Step 6: Final answer
    x = 748.26

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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.