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Finding the Fourth Proportional to 643.59, 964.74 and 277.86

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Solution

The fourth proportional to 643.59, 964.74 and 277.86 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.59 : 964.74 = 277.86 : x
  2. Step 2: Convert to fraction form
    643.59/964.74 = 277.86/x
  3. Step 3: Cross multiply
    643.59x = 964.74 × 277.86
  4. Step 4: Simplify right side
    643.59x = 268,062.66
  5. Step 5: Solve for x
    x = 268,062.66/643.59
  6. Step 6: Final answer
    x = 416.51

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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.