Home / 1,284.41-1,926.14-462.48

Finding the Fourth Proportional to 1,284.41, 1,926.14 and 462.48

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Solution

The fourth proportional to 1,284.41, 1,926.14 and 462.48 is: 693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.41 : 1,926.14 = 462.48 : x
  2. Step 2: Convert to fraction form
    1,284.41/1,926.14 = 462.48/x
  3. Step 3: Cross multiply
    1,284.41x = 1,926.14 × 462.48
  4. Step 4: Simplify right side
    1,284.41x = 890,798.91
  5. Step 5: Solve for x
    x = 890,798.91/1,284.41
  6. Step 6: Final answer
    x = 693.55

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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.