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Finding the Fourth Proportional to 996.86, 1,376.10 and 638.10

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Solution

The fourth proportional to 996.86, 1,376.10 and 638.10 is: 880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.86 : 1,376.10 = 638.10 : x
  2. Step 2: Convert to fraction form
    996.86/1,376.10 = 638.10/x
  3. Step 3: Cross multiply
    996.86x = 1,376.10 × 638.10
  4. Step 4: Simplify right side
    996.86x = 878,089.41
  5. Step 5: Solve for x
    x = 878,089.41/996.86
  6. Step 6: Final answer
    x = 880.86

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Double scale
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1.5x scale

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.