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Finding the Fourth Proportional to 697.11, 959.45 and 597.75

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Solution

The fourth proportional to 697.11, 959.45 and 597.75 is: 822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.11 : 959.45 = 597.75 : x
  2. Step 2: Convert to fraction form
    697.11/959.45 = 597.75/x
  3. Step 3: Cross multiply
    697.11x = 959.45 × 597.75
  4. Step 4: Simplify right side
    697.11x = 573,511.24
  5. Step 5: Solve for x
    x = 573,511.24/697.11
  6. Step 6: Final answer
    x = 822.70

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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.