Home / 1,278.49-1,916.97-456.61

Finding the Fourth Proportional to 1,278.49, 1,916.97 and 456.61

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Solution

The fourth proportional to 1,278.49, 1,916.97 and 456.61 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.49 : 1,916.97 = 456.61 : x
  2. Step 2: Convert to fraction form
    1,278.49/1,916.97 = 456.61/x
  3. Step 3: Cross multiply
    1,278.49x = 1,916.97 × 456.61
  4. Step 4: Simplify right side
    1,278.49x = 875,307.67
  5. Step 5: Solve for x
    x = 875,307.67/1,278.49
  6. Step 6: Final answer
    x = 684.64

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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.