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Finding the Fourth Proportional to 705.50, 1,057.54 and 294.86

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Solution

The fourth proportional to 705.50, 1,057.54 and 294.86 is: 441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.50 : 1,057.54 = 294.86 : x
  2. Step 2: Convert to fraction form
    705.50/1,057.54 = 294.86/x
  3. Step 3: Cross multiply
    705.50x = 1,057.54 × 294.86
  4. Step 4: Simplify right side
    705.50x = 311,826.24
  5. Step 5: Solve for x
    x = 311,826.24/705.50
  6. Step 6: Final answer
    x = 441.99

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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.