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Finding the Fourth Proportional to 680.61, 941.12 and 540.48

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Solution

The fourth proportional to 680.61, 941.12 and 540.48 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.61 : 941.12 = 540.48 : x
  2. Step 2: Convert to fraction form
    680.61/941.12 = 540.48/x
  3. Step 3: Cross multiply
    680.61x = 941.12 × 540.48
  4. Step 4: Simplify right side
    680.61x = 508,657.14
  5. Step 5: Solve for x
    x = 508,657.14/680.61
  6. Step 6: Final answer
    x = 747.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.