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Finding the Fourth Proportional to 647.52, 967.44 and 641.76

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Solution

The fourth proportional to 647.52, 967.44 and 641.76 is: 958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.52 : 967.44 = 641.76 : x
  2. Step 2: Convert to fraction form
    647.52/967.44 = 641.76/x
  3. Step 3: Cross multiply
    647.52x = 967.44 × 641.76
  4. Step 4: Simplify right side
    647.52x = 620,864.29
  5. Step 5: Solve for x
    x = 620,864.29/647.52
  6. Step 6: Final answer
    x = 958.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.