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Finding the Fourth Proportional to 705.34, 1,058.01 and 382.75

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Solution

The fourth proportional to 705.34, 1,058.01 and 382.75 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,058.01 = 382.75 : x
  2. Step 2: Convert to fraction form
    705.34/1,058.01 = 382.75/x
  3. Step 3: Cross multiply
    705.34x = 1,058.01 × 382.75
  4. Step 4: Simplify right side
    705.34x = 404,953.33
  5. Step 5: Solve for x
    x = 404,953.33/705.34
  6. Step 6: Final answer
    x = 574.13

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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.