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Finding the Fourth Proportional to 715.67, 1,073.22 and 304.82

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Solution

The fourth proportional to 715.67, 1,073.22 and 304.82 is: 457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.67 : 1,073.22 = 304.82 : x
  2. Step 2: Convert to fraction form
    715.67/1,073.22 = 304.82/x
  3. Step 3: Cross multiply
    715.67x = 1,073.22 × 304.82
  4. Step 4: Simplify right side
    715.67x = 327,137.58
  5. Step 5: Solve for x
    x = 327,137.58/715.67
  6. Step 6: Final answer
    x = 457.11

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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.