Home / 1,278.32-1,916.70-400.59

Finding the Fourth Proportional to 1,278.32, 1,916.70 and 400.59

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Solution

The fourth proportional to 1,278.32, 1,916.70 and 400.59 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.32 : 1,916.70 = 400.59 : x
  2. Step 2: Convert to fraction form
    1,278.32/1,916.70 = 400.59/x
  3. Step 3: Cross multiply
    1,278.32x = 1,916.70 × 400.59
  4. Step 4: Simplify right side
    1,278.32x = 767,810.85
  5. Step 5: Solve for x
    x = 767,810.85/1,278.32
  6. Step 6: Final answer
    x = 600.64

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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.