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Finding the Fourth Proportional to 700.14, 966.26 and 405.39

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Solution

The fourth proportional to 700.14, 966.26 and 405.39 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.14 : 966.26 = 405.39 : x
  2. Step 2: Convert to fraction form
    700.14/966.26 = 405.39/x
  3. Step 3: Cross multiply
    700.14x = 966.26 × 405.39
  4. Step 4: Simplify right side
    700.14x = 391,710.11
  5. Step 5: Solve for x
    x = 391,710.11/700.14
  6. Step 6: Final answer
    x = 559.47

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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.