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Finding the Fourth Proportional to 641.62, 962.57 and 312.81

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Solution

The fourth proportional to 641.62, 962.57 and 312.81 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.62 : 962.57 = 312.81 : x
  2. Step 2: Convert to fraction form
    641.62/962.57 = 312.81/x
  3. Step 3: Cross multiply
    641.62x = 962.57 × 312.81
  4. Step 4: Simplify right side
    641.62x = 301,101.52
  5. Step 5: Solve for x
    x = 301,101.52/641.62
  6. Step 6: Final answer
    x = 469.28

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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.