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Finding the Fourth Proportional to 700.27, 966.31 and 405.48

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Solution

The fourth proportional to 700.27, 966.31 and 405.48 is: 559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 966.31 = 405.48 : x
  2. Step 2: Convert to fraction form
    700.27/966.31 = 405.48/x
  3. Step 3: Cross multiply
    700.27x = 966.31 × 405.48
  4. Step 4: Simplify right side
    700.27x = 391,812.52
  5. Step 5: Solve for x
    x = 391,812.52/700.27
  6. Step 6: Final answer
    x = 559.52

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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.