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Finding the Fourth Proportional to 925.23, 1,388.46 and 438.33

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Solution

The fourth proportional to 925.23, 1,388.46 and 438.33 is: 657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.23 : 1,388.46 = 438.33 : x
  2. Step 2: Convert to fraction form
    925.23/1,388.46 = 438.33/x
  3. Step 3: Cross multiply
    925.23x = 1,388.46 × 438.33
  4. Step 4: Simplify right side
    925.23x = 608,603.67
  5. Step 5: Solve for x
    x = 608,603.67/925.23
  6. Step 6: Final answer
    x = 657.79

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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.