Home / 1,277.88-1,916.97-456.23

Finding the Fourth Proportional to 1,277.88, 1,916.97 and 456.23

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Solution

The fourth proportional to 1,277.88, 1,916.97 and 456.23 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.88 : 1,916.97 = 456.23 : x
  2. Step 2: Convert to fraction form
    1,277.88/1,916.97 = 456.23/x
  3. Step 3: Cross multiply
    1,277.88x = 1,916.97 × 456.23
  4. Step 4: Simplify right side
    1,277.88x = 874,582.30
  5. Step 5: Solve for x
    x = 874,582.30/1,277.88
  6. Step 6: Final answer
    x = 684.40

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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.