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Finding the Fourth Proportional to 641.15, 883.96 and 416.69

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Solution

The fourth proportional to 641.15, 883.96 and 416.69 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.15 : 883.96 = 416.69 : x
  2. Step 2: Convert to fraction form
    641.15/883.96 = 416.69/x
  3. Step 3: Cross multiply
    641.15x = 883.96 × 416.69
  4. Step 4: Simplify right side
    641.15x = 368,337.29
  5. Step 5: Solve for x
    x = 368,337.29/641.15
  6. Step 6: Final answer
    x = 574.49

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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.