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Finding the Fourth Proportional to 705.71, 1,059.01 and 272.86

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Solution

The fourth proportional to 705.71, 1,059.01 and 272.86 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.71 : 1,059.01 = 272.86 : x
  2. Step 2: Convert to fraction form
    705.71/1,059.01 = 272.86/x
  3. Step 3: Cross multiply
    705.71x = 1,059.01 × 272.86
  4. Step 4: Simplify right side
    705.71x = 288,958.14
  5. Step 5: Solve for x
    x = 288,958.14/705.71
  6. Step 6: Final answer
    x = 409.46

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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.