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Finding the Fourth Proportional to 631.10, 870.96 and 382.46

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Solution

The fourth proportional to 631.10, 870.96 and 382.46 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.10 : 870.96 = 382.46 : x
  2. Step 2: Convert to fraction form
    631.10/870.96 = 382.46/x
  3. Step 3: Cross multiply
    631.10x = 870.96 × 382.46
  4. Step 4: Simplify right side
    631.10x = 333,107.36
  5. Step 5: Solve for x
    x = 333,107.36/631.10
  6. Step 6: Final answer
    x = 527.82

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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.