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Finding the Fourth Proportional to 700.31, 966.42 and 405.59

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Solution

The fourth proportional to 700.31, 966.42 and 405.59 is: 559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.31 : 966.42 = 405.59 : x
  2. Step 2: Convert to fraction form
    700.31/966.42 = 405.59/x
  3. Step 3: Cross multiply
    700.31x = 966.42 × 405.59
  4. Step 4: Simplify right side
    700.31x = 391,965.46
  5. Step 5: Solve for x
    x = 391,965.46/700.31
  6. Step 6: Final answer
    x = 559.71

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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.