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Finding the Fourth Proportional to 715.55, 1,073.31 and 228.59

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Solution

The fourth proportional to 715.55, 1,073.31 and 228.59 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.55 : 1,073.31 = 228.59 : x
  2. Step 2: Convert to fraction form
    715.55/1,073.31 = 228.59/x
  3. Step 3: Cross multiply
    715.55x = 1,073.31 × 228.59
  4. Step 4: Simplify right side
    715.55x = 245,345.73
  5. Step 5: Solve for x
    x = 245,345.73/715.55
  6. Step 6: Final answer
    x = 342.88

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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.