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Finding the Fourth Proportional to 630.15, 869.43 and 397.14

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Solution

The fourth proportional to 630.15, 869.43 and 397.14 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.15 : 869.43 = 397.14 : x
  2. Step 2: Convert to fraction form
    630.15/869.43 = 397.14/x
  3. Step 3: Cross multiply
    630.15x = 869.43 × 397.14
  4. Step 4: Simplify right side
    630.15x = 345,285.43
  5. Step 5: Solve for x
    x = 345,285.43/630.15
  6. Step 6: Final answer
    x = 547.94

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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.