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Finding the Fourth Proportional to 715.27, 1,072.59 and 304.18

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Solution

The fourth proportional to 715.27, 1,072.59 and 304.18 is: 456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.27 : 1,072.59 = 304.18 : x
  2. Step 2: Convert to fraction form
    715.27/1,072.59 = 304.18/x
  3. Step 3: Cross multiply
    715.27x = 1,072.59 × 304.18
  4. Step 4: Simplify right side
    715.27x = 326,260.43
  5. Step 5: Solve for x
    x = 326,260.43/715.27
  6. Step 6: Final answer
    x = 456.14

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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.