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Finding the Fourth Proportional to 643.50, 964.69 and 278.52

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Solution

The fourth proportional to 643.50, 964.69 and 278.52 is: 417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 964.69 = 278.52 : x
  2. Step 2: Convert to fraction form
    643.50/964.69 = 278.52/x
  3. Step 3: Cross multiply
    643.50x = 964.69 × 278.52
  4. Step 4: Simplify right side
    643.50x = 268,685.46
  5. Step 5: Solve for x
    x = 268,685.46/643.50
  6. Step 6: Final answer
    x = 417.54

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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.