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Finding the Fourth Proportional to 816.67, 1,225.46 and 354.45

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Solution

The fourth proportional to 816.67, 1,225.46 and 354.45 is: 531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.67 : 1,225.46 = 354.45 : x
  2. Step 2: Convert to fraction form
    816.67/1,225.46 = 354.45/x
  3. Step 3: Cross multiply
    816.67x = 1,225.46 × 354.45
  4. Step 4: Simplify right side
    816.67x = 434,362.52
  5. Step 5: Solve for x
    x = 434,362.52/816.67
  6. Step 6: Final answer
    x = 531.87

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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.