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Finding the Fourth Proportional to 700.31, 966.20 and 405.47

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Solution

The fourth proportional to 700.31, 966.20 and 405.47 is: 559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.31 : 966.20 = 405.47 : x
  2. Step 2: Convert to fraction form
    700.31/966.20 = 405.47/x
  3. Step 3: Cross multiply
    700.31x = 966.20 × 405.47
  4. Step 4: Simplify right side
    700.31x = 391,765.50
  5. Step 5: Solve for x
    x = 391,765.50/700.31
  6. Step 6: Final answer
    x = 559.42

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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.