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Finding the Fourth Proportional to 705.08, 1,057.21 and 294.53

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Solution

The fourth proportional to 705.08, 1,057.21 and 294.53 is: 441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,057.21 = 294.53 : x
  2. Step 2: Convert to fraction form
    705.08/1,057.21 = 294.53/x
  3. Step 3: Cross multiply
    705.08x = 1,057.21 × 294.53
  4. Step 4: Simplify right side
    705.08x = 311,374.04
  5. Step 5: Solve for x
    x = 311,374.04/705.08
  6. Step 6: Final answer
    x = 441.61

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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.