Home / 1,308.24-1,962.45-442.26

Finding the Fourth Proportional to 1,308.24, 1,962.45 and 442.26

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Solution

The fourth proportional to 1,308.24, 1,962.45 and 442.26 is: 663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.24 : 1,962.45 = 442.26 : x
  2. Step 2: Convert to fraction form
    1,308.24/1,962.45 = 442.26/x
  3. Step 3: Cross multiply
    1,308.24x = 1,962.45 × 442.26
  4. Step 4: Simplify right side
    1,308.24x = 867,913.14
  5. Step 5: Solve for x
    x = 867,913.14/1,308.24
  6. Step 6: Final answer
    x = 663.42

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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.