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Finding the Fourth Proportional to 925.15, 1,388.33 and 492.61

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Solution

The fourth proportional to 925.15, 1,388.33 and 492.61 is: 739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.15 : 1,388.33 = 492.61 : x
  2. Step 2: Convert to fraction form
    925.15/1,388.33 = 492.61/x
  3. Step 3: Cross multiply
    925.15x = 1,388.33 × 492.61
  4. Step 4: Simplify right side
    925.15x = 683,905.24
  5. Step 5: Solve for x
    x = 683,905.24/925.15
  6. Step 6: Final answer
    x = 739.24

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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.