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Finding the Fourth Proportional to 631.41, 871.61 and 418.84

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Solution

The fourth proportional to 631.41, 871.61 and 418.84 is: 578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 871.61 = 418.84 : x
  2. Step 2: Convert to fraction form
    631.41/871.61 = 418.84/x
  3. Step 3: Cross multiply
    631.41x = 871.61 × 418.84
  4. Step 4: Simplify right side
    631.41x = 365,065.13
  5. Step 5: Solve for x
    x = 365,065.13/631.41
  6. Step 6: Final answer
    x = 578.17

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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.