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Finding the Fourth Proportional to 631.26, 870.74 and 369.09

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Solution

The fourth proportional to 631.26, 870.74 and 369.09 is: 509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.26 : 870.74 = 369.09 : x
  2. Step 2: Convert to fraction form
    631.26/870.74 = 369.09/x
  3. Step 3: Cross multiply
    631.26x = 870.74 × 369.09
  4. Step 4: Simplify right side
    631.26x = 321,375.23
  5. Step 5: Solve for x
    x = 321,375.23/631.26
  6. Step 6: Final answer
    x = 509.11

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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.