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Finding the Fourth Proportional to 643.13, 963.93 and 314.22

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Solution

The fourth proportional to 643.13, 963.93 and 314.22 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.13 : 963.93 = 314.22 : x
  2. Step 2: Convert to fraction form
    643.13/963.93 = 314.22/x
  3. Step 3: Cross multiply
    643.13x = 963.93 × 314.22
  4. Step 4: Simplify right side
    643.13x = 302,886.08
  5. Step 5: Solve for x
    x = 302,886.08/643.13
  6. Step 6: Final answer
    x = 470.96

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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.