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Finding the Fourth Proportional to 631.80, 871.75 and 369.76

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Solution

The fourth proportional to 631.80, 871.75 and 369.76 is: 510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.80 : 871.75 = 369.76 : x
  2. Step 2: Convert to fraction form
    631.80/871.75 = 369.76/x
  3. Step 3: Cross multiply
    631.80x = 871.75 × 369.76
  4. Step 4: Simplify right side
    631.80x = 322,338.28
  5. Step 5: Solve for x
    x = 322,338.28/631.80
  6. Step 6: Final answer
    x = 510.19

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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.