Home / 1,278.51-1,916.60-456.59

Finding the Fourth Proportional to 1,278.51, 1,916.60 and 456.59

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Solution

The fourth proportional to 1,278.51, 1,916.60 and 456.59 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.51 : 1,916.60 = 456.59 : x
  2. Step 2: Convert to fraction form
    1,278.51/1,916.60 = 456.59/x
  3. Step 3: Cross multiply
    1,278.51x = 1,916.60 × 456.59
  4. Step 4: Simplify right side
    1,278.51x = 875,104.06
  5. Step 5: Solve for x
    x = 875,104.06/1,278.51
  6. Step 6: Final answer
    x = 684.47

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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.