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Finding the Fourth Proportional to 643.84, 964.64 and 400.54

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Solution

The fourth proportional to 643.84, 964.64 and 400.54 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.84 : 964.64 = 400.54 : x
  2. Step 2: Convert to fraction form
    643.84/964.64 = 400.54/x
  3. Step 3: Cross multiply
    643.84x = 964.64 × 400.54
  4. Step 4: Simplify right side
    643.84x = 386,376.91
  5. Step 5: Solve for x
    x = 386,376.91/643.84
  6. Step 6: Final answer
    x = 600.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.