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Finding the Fourth Proportional to 630.66, 869.45 and 443.96

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Solution

The fourth proportional to 630.66, 869.45 and 443.96 is: 612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.66 : 869.45 = 443.96 : x
  2. Step 2: Convert to fraction form
    630.66/869.45 = 443.96/x
  3. Step 3: Cross multiply
    630.66x = 869.45 × 443.96
  4. Step 4: Simplify right side
    630.66x = 386,001.02
  5. Step 5: Solve for x
    x = 386,001.02/630.66
  6. Step 6: Final answer
    x = 612.06

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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.