Home / 1,284.54-1,926.60-462.66

Finding the Fourth Proportional to 1,284.54, 1,926.60 and 462.66

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Solution

The fourth proportional to 1,284.54, 1,926.60 and 462.66 is: 693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.54 : 1,926.60 = 462.66 : x
  2. Step 2: Convert to fraction form
    1,284.54/1,926.60 = 462.66/x
  3. Step 3: Cross multiply
    1,284.54x = 1,926.60 × 462.66
  4. Step 4: Simplify right side
    1,284.54x = 891,358.44
  5. Step 5: Solve for x
    x = 891,358.44/1,284.54
  6. Step 6: Final answer
    x = 693.91

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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.