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Finding the Fourth Proportional to 643.12, 964.70 and 335.59

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Solution

The fourth proportional to 643.12, 964.70 and 335.59 is: 503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 964.70 = 335.59 : x
  2. Step 2: Convert to fraction form
    643.12/964.70 = 335.59/x
  3. Step 3: Cross multiply
    643.12x = 964.70 × 335.59
  4. Step 4: Simplify right side
    643.12x = 323,743.67
  5. Step 5: Solve for x
    x = 323,743.67/643.12
  6. Step 6: Final answer
    x = 503.40

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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.