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Finding the Fourth Proportional to 811.08, 1,119.42 and 637.74

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Solution

The fourth proportional to 811.08, 1,119.42 and 637.74 is: 880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,119.42 = 637.74 : x
  2. Step 2: Convert to fraction form
    811.08/1,119.42 = 637.74/x
  3. Step 3: Cross multiply
    811.08x = 1,119.42 × 637.74
  4. Step 4: Simplify right side
    811.08x = 713,898.91
  5. Step 5: Solve for x
    x = 713,898.91/811.08
  6. Step 6: Final answer
    x = 880.18

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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.