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Finding the Fourth Proportional to 641.24, 884.88 and 361.40

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Solution

The fourth proportional to 641.24, 884.88 and 361.40 is: 498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 884.88 = 361.40 : x
  2. Step 2: Convert to fraction form
    641.24/884.88 = 361.40/x
  3. Step 3: Cross multiply
    641.24x = 884.88 × 361.40
  4. Step 4: Simplify right side
    641.24x = 319,795.63
  5. Step 5: Solve for x
    x = 319,795.63/641.24
  6. Step 6: Final answer
    x = 498.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.