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Finding the Fourth Proportional to 641.66, 884.32 and 612.50

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Solution

The fourth proportional to 641.66, 884.32 and 612.50 is: 844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.66 : 884.32 = 612.50 : x
  2. Step 2: Convert to fraction form
    641.66/884.32 = 612.50/x
  3. Step 3: Cross multiply
    641.66x = 884.32 × 612.50
  4. Step 4: Simplify right side
    641.66x = 541,640.05
  5. Step 5: Solve for x
    x = 541,640.05/641.66
  6. Step 6: Final answer
    x = 844.13

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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.