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Finding the Fourth Proportional to 696.70, 959.25 and 591.58

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Solution

The fourth proportional to 696.70, 959.25 and 591.58 is: 814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.70 : 959.25 = 591.58 : x
  2. Step 2: Convert to fraction form
    696.70/959.25 = 591.58/x
  3. Step 3: Cross multiply
    696.70x = 959.25 × 591.58
  4. Step 4: Simplify right side
    696.70x = 567,473.12
  5. Step 5: Solve for x
    x = 567,473.12/696.70
  6. Step 6: Final answer
    x = 814.52

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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.