Home / 1,284.87-1,926.80-462.86

Finding the Fourth Proportional to 1,284.87, 1,926.80 and 462.86

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Solution

The fourth proportional to 1,284.87, 1,926.80 and 462.86 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.87 : 1,926.80 = 462.86 : x
  2. Step 2: Convert to fraction form
    1,284.87/1,926.80 = 462.86/x
  3. Step 3: Cross multiply
    1,284.87x = 1,926.80 × 462.86
  4. Step 4: Simplify right side
    1,284.87x = 891,827.86
  5. Step 5: Solve for x
    x = 891,827.86/1,284.87
  6. Step 6: Final answer
    x = 694.10

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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.