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Finding the Fourth Proportional to 715.38, 1,073.13 and 202.38

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Solution

The fourth proportional to 715.38, 1,073.13 and 202.38 is: 303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.38 : 1,073.13 = 202.38 : x
  2. Step 2: Convert to fraction form
    715.38/1,073.13 = 202.38/x
  3. Step 3: Cross multiply
    715.38x = 1,073.13 × 202.38
  4. Step 4: Simplify right side
    715.38x = 217,173.67
  5. Step 5: Solve for x
    x = 217,173.67/715.38
  6. Step 6: Final answer
    x = 303.58

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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.