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Finding the Fourth Proportional to 631.52, 870.92 and 369.44

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Solution

The fourth proportional to 631.52, 870.92 and 369.44 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.52 : 870.92 = 369.44 : x
  2. Step 2: Convert to fraction form
    631.52/870.92 = 369.44/x
  3. Step 3: Cross multiply
    631.52x = 870.92 × 369.44
  4. Step 4: Simplify right side
    631.52x = 321,752.68
  5. Step 5: Solve for x
    x = 321,752.68/631.52
  6. Step 6: Final answer
    x = 509.49

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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.