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Finding the Fourth Proportional to 715.94, 1,073.90 and 229.03

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Solution

The fourth proportional to 715.94, 1,073.90 and 229.03 is: 343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 1,073.90 = 229.03 : x
  2. Step 2: Convert to fraction form
    715.94/1,073.90 = 229.03/x
  3. Step 3: Cross multiply
    715.94x = 1,073.90 × 229.03
  4. Step 4: Simplify right side
    715.94x = 245,955.32
  5. Step 5: Solve for x
    x = 245,955.32/715.94
  6. Step 6: Final answer
    x = 343.54

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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.