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Finding the Fourth Proportional to 641.64, 958.95 and 468.67

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Solution

The fourth proportional to 641.64, 958.95 and 468.67 is: 700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 958.95 = 468.67 : x
  2. Step 2: Convert to fraction form
    641.64/958.95 = 468.67/x
  3. Step 3: Cross multiply
    641.64x = 958.95 × 468.67
  4. Step 4: Simplify right side
    641.64x = 449,431.10
  5. Step 5: Solve for x
    x = 449,431.10/641.64
  6. Step 6: Final answer
    x = 700.44

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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.