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Finding the Fourth Proportional to 700.46, 966.68 and 405.76

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Solution

The fourth proportional to 700.46, 966.68 and 405.76 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.46 : 966.68 = 405.76 : x
  2. Step 2: Convert to fraction form
    700.46/966.68 = 405.76/x
  3. Step 3: Cross multiply
    700.46x = 966.68 × 405.76
  4. Step 4: Simplify right side
    700.46x = 392,241.25
  5. Step 5: Solve for x
    x = 392,241.25/700.46
  6. Step 6: Final answer
    x = 559.97

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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.