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Finding the Fourth Proportional to 742.50, 1,113.81 and 229.50

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Solution

The fourth proportional to 742.50, 1,113.81 and 229.50 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,113.81 = 229.50 : x
  2. Step 2: Convert to fraction form
    742.50/1,113.81 = 229.50/x
  3. Step 3: Cross multiply
    742.50x = 1,113.81 × 229.50
  4. Step 4: Simplify right side
    742.50x = 255,619.40
  5. Step 5: Solve for x
    x = 255,619.40/742.50
  6. Step 6: Final answer
    x = 344.27

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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.