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Finding the Fourth Proportional to 697.98, 967.69 and 659.10

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Solution

The fourth proportional to 697.98, 967.69 and 659.10 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 967.69 = 659.10 : x
  2. Step 2: Convert to fraction form
    697.98/967.69 = 659.10/x
  3. Step 3: Cross multiply
    697.98x = 967.69 × 659.10
  4. Step 4: Simplify right side
    697.98x = 637,801.18
  5. Step 5: Solve for x
    x = 637,801.18/697.98
  6. Step 6: Final answer
    x = 913.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.