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Finding the Fourth Proportional to 631.64, 871.77 and 369.61

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Solution

The fourth proportional to 631.64, 871.77 and 369.61 is: 510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 871.77 = 369.61 : x
  2. Step 2: Convert to fraction form
    631.64/871.77 = 369.61/x
  3. Step 3: Cross multiply
    631.64x = 871.77 × 369.61
  4. Step 4: Simplify right side
    631.64x = 322,209.63
  5. Step 5: Solve for x
    x = 322,209.63/631.64
  6. Step 6: Final answer
    x = 510.12

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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.