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Finding the Fourth Proportional to 700.62, 966.86 and 385.91

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Solution

The fourth proportional to 700.62, 966.86 and 385.91 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.62 : 966.86 = 385.91 : x
  2. Step 2: Convert to fraction form
    700.62/966.86 = 385.91/x
  3. Step 3: Cross multiply
    700.62x = 966.86 × 385.91
  4. Step 4: Simplify right side
    700.62x = 373,120.94
  5. Step 5: Solve for x
    x = 373,120.94/700.62
  6. Step 6: Final answer
    x = 532.56

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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.