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Finding the Fourth Proportional to 687.83, 948.11 and 540.20

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Solution

The fourth proportional to 687.83, 948.11 and 540.20 is: 744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 948.11 = 540.20 : x
  2. Step 2: Convert to fraction form
    687.83/948.11 = 540.20/x
  3. Step 3: Cross multiply
    687.83x = 948.11 × 540.20
  4. Step 4: Simplify right side
    687.83x = 512,168.69
  5. Step 5: Solve for x
    x = 512,168.69/687.83
  6. Step 6: Final answer
    x = 744.62

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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.