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Finding the Fourth Proportional to 925.75, 1,388.63 and 348.22

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Solution

The fourth proportional to 925.75, 1,388.63 and 348.22 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.75 : 1,388.63 = 348.22 : x
  2. Step 2: Convert to fraction form
    925.75/1,388.63 = 348.22/x
  3. Step 3: Cross multiply
    925.75x = 1,388.63 × 348.22
  4. Step 4: Simplify right side
    925.75x = 483,548.74
  5. Step 5: Solve for x
    x = 483,548.74/925.75
  6. Step 6: Final answer
    x = 522.33

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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.