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Finding the Fourth Proportional to 651.16, 969.30 and 641.44

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Solution

The fourth proportional to 651.16, 969.30 and 641.44 is: 954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 969.30 = 641.44 : x
  2. Step 2: Convert to fraction form
    651.16/969.30 = 641.44/x
  3. Step 3: Cross multiply
    651.16x = 969.30 × 641.44
  4. Step 4: Simplify right side
    651.16x = 621,747.79
  5. Step 5: Solve for x
    x = 621,747.79/651.16
  6. Step 6: Final answer
    x = 954.83

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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.