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Finding the Fourth Proportional to 705.95, 1,059.22 and 295.17

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Solution

The fourth proportional to 705.95, 1,059.22 and 295.17 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.95 : 1,059.22 = 295.17 : x
  2. Step 2: Convert to fraction form
    705.95/1,059.22 = 295.17/x
  3. Step 3: Cross multiply
    705.95x = 1,059.22 × 295.17
  4. Step 4: Simplify right side
    705.95x = 312,649.97
  5. Step 5: Solve for x
    x = 312,649.97/705.95
  6. Step 6: Final answer
    x = 442.88

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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.