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Finding the Fourth Proportional to 705.47, 1,057.49 and 294.83

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Solution

The fourth proportional to 705.47, 1,057.49 and 294.83 is: 441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 1,057.49 = 294.83 : x
  2. Step 2: Convert to fraction form
    705.47/1,057.49 = 294.83/x
  3. Step 3: Cross multiply
    705.47x = 1,057.49 × 294.83
  4. Step 4: Simplify right side
    705.47x = 311,783.16
  5. Step 5: Solve for x
    x = 311,783.16/705.47
  6. Step 6: Final answer
    x = 441.95

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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.