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Finding the Fourth Proportional to 631.59, 871.70 and 365.99

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Solution

The fourth proportional to 631.59, 871.70 and 365.99 is: 505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 871.70 = 365.99 : x
  2. Step 2: Convert to fraction form
    631.59/871.70 = 365.99/x
  3. Step 3: Cross multiply
    631.59x = 871.70 × 365.99
  4. Step 4: Simplify right side
    631.59x = 319,033.48
  5. Step 5: Solve for x
    x = 319,033.48/631.59
  6. Step 6: Final answer
    x = 505.13

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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.