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Finding the Fourth Proportional to 700.38, 966.44 and 405.66

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Solution

The fourth proportional to 700.38, 966.44 and 405.66 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 966.44 = 405.66 : x
  2. Step 2: Convert to fraction form
    700.38/966.44 = 405.66/x
  3. Step 3: Cross multiply
    700.38x = 966.44 × 405.66
  4. Step 4: Simplify right side
    700.38x = 392,046.05
  5. Step 5: Solve for x
    x = 392,046.05/700.38
  6. Step 6: Final answer
    x = 559.76

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1.5x scale

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.