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Finding the Fourth Proportional to 842.28, 1,263.42 and 458.28

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Solution

The fourth proportional to 842.28, 1,263.42 and 458.28 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,263.42 = 458.28 : x
  2. Step 2: Convert to fraction form
    842.28/1,263.42 = 458.28/x
  3. Step 3: Cross multiply
    842.28x = 1,263.42 × 458.28
  4. Step 4: Simplify right side
    842.28x = 579,000.12
  5. Step 5: Solve for x
    x = 579,000.12/842.28
  6. Step 6: Final answer
    x = 687.42

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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.