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Finding the Fourth Proportional to 682.25, 941.04 and 542.16

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Solution

The fourth proportional to 682.25, 941.04 and 542.16 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.25 : 941.04 = 542.16 : x
  2. Step 2: Convert to fraction form
    682.25/941.04 = 542.16/x
  3. Step 3: Cross multiply
    682.25x = 941.04 × 542.16
  4. Step 4: Simplify right side
    682.25x = 510,194.25
  5. Step 5: Solve for x
    x = 510,194.25/682.25
  6. Step 6: Final answer
    x = 747.82

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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.