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Finding the Fourth Proportional to 643.41, 964.27 and 296.70

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Solution

The fourth proportional to 643.41, 964.27 and 296.70 is: 444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 964.27 = 296.70 : x
  2. Step 2: Convert to fraction form
    643.41/964.27 = 296.70/x
  3. Step 3: Cross multiply
    643.41x = 964.27 × 296.70
  4. Step 4: Simplify right side
    643.41x = 286,095.66
  5. Step 5: Solve for x
    x = 286,095.66/643.41
  6. Step 6: Final answer
    x = 444.66

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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.