Home / 1,277.85-1,916.27-497.75

Finding the Fourth Proportional to 1,277.85, 1,916.27 and 497.75

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Solution

The fourth proportional to 1,277.85, 1,916.27 and 497.75 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.85 : 1,916.27 = 497.75 : x
  2. Step 2: Convert to fraction form
    1,277.85/1,916.27 = 497.75/x
  3. Step 3: Cross multiply
    1,277.85x = 1,916.27 × 497.75
  4. Step 4: Simplify right side
    1,277.85x = 953,811.79
  5. Step 5: Solve for x
    x = 953,811.79/1,277.85
  6. Step 6: Final answer
    x = 746.42

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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.