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Finding the Fourth Proportional to 700.22, 960.61 and 658.34

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Solution

The fourth proportional to 700.22, 960.61 and 658.34 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 960.61 = 658.34 : x
  2. Step 2: Convert to fraction form
    700.22/960.61 = 658.34/x
  3. Step 3: Cross multiply
    700.22x = 960.61 × 658.34
  4. Step 4: Simplify right side
    700.22x = 632,404.70
  5. Step 5: Solve for x
    x = 632,404.70/700.22
  6. Step 6: Final answer
    x = 903.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.