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Finding the Fourth Proportional to 700.14, 966.21 and 405.42

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Solution

The fourth proportional to 700.14, 966.21 and 405.42 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.14 : 966.21 = 405.42 : x
  2. Step 2: Convert to fraction form
    700.14/966.21 = 405.42/x
  3. Step 3: Cross multiply
    700.14x = 966.21 × 405.42
  4. Step 4: Simplify right side
    700.14x = 391,720.86
  5. Step 5: Solve for x
    x = 391,720.86/700.14
  6. Step 6: Final answer
    x = 559.49

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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.