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Finding the Fourth Proportional to 704.14, 969.51 and 579.40

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Solution

The fourth proportional to 704.14, 969.51 and 579.40 is: 797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.14 : 969.51 = 579.40 : x
  2. Step 2: Convert to fraction form
    704.14/969.51 = 579.40/x
  3. Step 3: Cross multiply
    704.14x = 969.51 × 579.40
  4. Step 4: Simplify right side
    704.14x = 561,734.09
  5. Step 5: Solve for x
    x = 561,734.09/704.14
  6. Step 6: Final answer
    x = 797.76

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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.