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Finding the Fourth Proportional to 680.48, 940.06 and 540.14

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Solution

The fourth proportional to 680.48, 940.06 and 540.14 is: 746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.48 : 940.06 = 540.14 : x
  2. Step 2: Convert to fraction form
    680.48/940.06 = 540.14/x
  3. Step 3: Cross multiply
    680.48x = 940.06 × 540.14
  4. Step 4: Simplify right side
    680.48x = 507,764.01
  5. Step 5: Solve for x
    x = 507,764.01/680.48
  6. Step 6: Final answer
    x = 746.19

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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.