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Finding the Fourth Proportional to 715.42, 1,072.96 and 276.58

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Solution

The fourth proportional to 715.42, 1,072.96 and 276.58 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 1,072.96 = 276.58 : x
  2. Step 2: Convert to fraction form
    715.42/1,072.96 = 276.58/x
  3. Step 3: Cross multiply
    715.42x = 1,072.96 × 276.58
  4. Step 4: Simplify right side
    715.42x = 296,759.28
  5. Step 5: Solve for x
    x = 296,759.28/715.42
  6. Step 6: Final answer
    x = 414.80

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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.