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Finding the Fourth Proportional to 705.84, 1,058.87 and 321.09

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Solution

The fourth proportional to 705.84, 1,058.87 and 321.09 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,058.87 = 321.09 : x
  2. Step 2: Convert to fraction form
    705.84/1,058.87 = 321.09/x
  3. Step 3: Cross multiply
    705.84x = 1,058.87 × 321.09
  4. Step 4: Simplify right side
    705.84x = 339,985.67
  5. Step 5: Solve for x
    x = 339,985.67/705.84
  6. Step 6: Final answer
    x = 481.68

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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.