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Finding the Fourth Proportional to 630.97, 870.84 and 365.37

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Solution

The fourth proportional to 630.97, 870.84 and 365.37 is: 504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.97 : 870.84 = 365.37 : x
  2. Step 2: Convert to fraction form
    630.97/870.84 = 365.37/x
  3. Step 3: Cross multiply
    630.97x = 870.84 × 365.37
  4. Step 4: Simplify right side
    630.97x = 318,175.55
  5. Step 5: Solve for x
    x = 318,175.55/630.97
  6. Step 6: Final answer
    x = 504.27

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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.