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Finding the Fourth Proportional to 705.93, 973.25 and 579.43

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Solution

The fourth proportional to 705.93, 973.25 and 579.43 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 973.25 = 579.43 : x
  2. Step 2: Convert to fraction form
    705.93/973.25 = 579.43/x
  3. Step 3: Cross multiply
    705.93x = 973.25 × 579.43
  4. Step 4: Simplify right side
    705.93x = 563,930.25
  5. Step 5: Solve for x
    x = 563,930.25/705.93
  6. Step 6: Final answer
    x = 798.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.