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Finding the Fourth Proportional to 705.05, 1,054.87 and 426.38

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Solution

The fourth proportional to 705.05, 1,054.87 and 426.38 is: 637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 1,054.87 = 426.38 : x
  2. Step 2: Convert to fraction form
    705.05/1,054.87 = 426.38/x
  3. Step 3: Cross multiply
    705.05x = 1,054.87 × 426.38
  4. Step 4: Simplify right side
    705.05x = 449,769.13
  5. Step 5: Solve for x
    x = 449,769.13/705.05
  6. Step 6: Final answer
    x = 637.93

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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.