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Finding the Fourth Proportional to 701.72, 969.59 and 577.29

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Solution

The fourth proportional to 701.72, 969.59 and 577.29 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.72 : 969.59 = 577.29 : x
  2. Step 2: Convert to fraction form
    701.72/969.59 = 577.29/x
  3. Step 3: Cross multiply
    701.72x = 969.59 × 577.29
  4. Step 4: Simplify right side
    701.72x = 559,734.61
  5. Step 5: Solve for x
    x = 559,734.61/701.72
  6. Step 6: Final answer
    x = 797.66

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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.