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Finding the Fourth Proportional to 630.94, 870.80 and 382.27

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Solution

The fourth proportional to 630.94, 870.80 and 382.27 is: 527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.94 : 870.80 = 382.27 : x
  2. Step 2: Convert to fraction form
    630.94/870.80 = 382.27/x
  3. Step 3: Cross multiply
    630.94x = 870.80 × 382.27
  4. Step 4: Simplify right side
    630.94x = 332,880.41
  5. Step 5: Solve for x
    x = 332,880.41/630.94
  6. Step 6: Final answer
    x = 527.59

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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.