Home / 1,284.31-1,926.54-462.67

Finding the Fourth Proportional to 1,284.31, 1,926.54 and 462.67

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Solution

The fourth proportional to 1,284.31, 1,926.54 and 462.67 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.31 : 1,926.54 = 462.67 : x
  2. Step 2: Convert to fraction form
    1,284.31/1,926.54 = 462.67/x
  3. Step 3: Cross multiply
    1,284.31x = 1,926.54 × 462.67
  4. Step 4: Simplify right side
    1,284.31x = 891,352.26
  5. Step 5: Solve for x
    x = 891,352.26/1,284.31
  6. Step 6: Final answer
    x = 694.03

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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.