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Finding the Fourth Proportional to 700.21, 966.25 and 405.46

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Solution

The fourth proportional to 700.21, 966.25 and 405.46 is: 559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.21 : 966.25 = 405.46 : x
  2. Step 2: Convert to fraction form
    700.21/966.25 = 405.46/x
  3. Step 3: Cross multiply
    700.21x = 966.25 × 405.46
  4. Step 4: Simplify right side
    700.21x = 391,775.73
  5. Step 5: Solve for x
    x = 391,775.73/700.21
  6. Step 6: Final answer
    x = 559.51

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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.