Home / 1,277.90-1,916.98-456.24

Finding the Fourth Proportional to 1,277.90, 1,916.98 and 456.24

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Solution

The fourth proportional to 1,277.90, 1,916.98 and 456.24 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.90 : 1,916.98 = 456.24 : x
  2. Step 2: Convert to fraction form
    1,277.90/1,916.98 = 456.24/x
  3. Step 3: Cross multiply
    1,277.90x = 1,916.98 × 456.24
  4. Step 4: Simplify right side
    1,277.90x = 874,600.67
  5. Step 5: Solve for x
    x = 874,600.67/1,277.90
  6. Step 6: Final answer
    x = 684.41

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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.