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Finding the Fourth Proportional to 715.67, 1,072.97 and 304.46

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Solution

The fourth proportional to 715.67, 1,072.97 and 304.46 is: 456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.67 : 1,072.97 = 304.46 : x
  2. Step 2: Convert to fraction form
    715.67/1,072.97 = 304.46/x
  3. Step 3: Cross multiply
    715.67x = 1,072.97 × 304.46
  4. Step 4: Simplify right side
    715.67x = 326,674.92
  5. Step 5: Solve for x
    x = 326,674.92/715.67
  6. Step 6: Final answer
    x = 456.46

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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.