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Finding the Fourth Proportional to 631.60, 871.60 and 369.52

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Solution

The fourth proportional to 631.60, 871.60 and 369.52 is: 509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 871.60 = 369.52 : x
  2. Step 2: Convert to fraction form
    631.60/871.60 = 369.52/x
  3. Step 3: Cross multiply
    631.60x = 871.60 × 369.52
  4. Step 4: Simplify right side
    631.60x = 322,073.63
  5. Step 5: Solve for x
    x = 322,073.63/631.60
  6. Step 6: Final answer
    x = 509.93

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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.