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Finding the Fourth Proportional to 1,278.26, 1,916.48 and 653.75

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Solution

The fourth proportional to 1,278.26, 1,916.48 and 653.75 is: 980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.26 : 1,916.48 = 653.75 : x
  2. Step 2: Convert to fraction form
    1,278.26/1,916.48 = 653.75/x
  3. Step 3: Cross multiply
    1,278.26x = 1,916.48 × 653.75
  4. Step 4: Simplify right side
    1,278.26x = 1,252,890.85
  5. Step 5: Solve for x
    x = 1,252,890.85/1,278.26
  6. Step 6: Final answer
    x = 980.16

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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.