Home / 1,278.38-1,916.42-456.53

Finding the Fourth Proportional to 1,278.38, 1,916.42 and 456.53

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Solution

The fourth proportional to 1,278.38, 1,916.42 and 456.53 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.38 : 1,916.42 = 456.53 : x
  2. Step 2: Convert to fraction form
    1,278.38/1,916.42 = 456.53/x
  3. Step 3: Cross multiply
    1,278.38x = 1,916.42 × 456.53
  4. Step 4: Simplify right side
    1,278.38x = 874,894.78
  5. Step 5: Solve for x
    x = 874,894.78/1,278.38
  6. Step 6: Final answer
    x = 684.38

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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.