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Finding the Fourth Proportional to 643.50, 964.47 and 296.55

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Solution

The fourth proportional to 643.50, 964.47 and 296.55 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 964.47 = 296.55 : x
  2. Step 2: Convert to fraction form
    643.50/964.47 = 296.55/x
  3. Step 3: Cross multiply
    643.50x = 964.47 × 296.55
  4. Step 4: Simplify right side
    643.50x = 286,013.58
  5. Step 5: Solve for x
    x = 286,013.58/643.50
  6. Step 6: Final answer
    x = 444.47

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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.