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Finding the Fourth Proportional to 682.15, 941.43 and 402.47

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Solution

The fourth proportional to 682.15, 941.43 and 402.47 is: 555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.15 : 941.43 = 402.47 : x
  2. Step 2: Convert to fraction form
    682.15/941.43 = 402.47/x
  3. Step 3: Cross multiply
    682.15x = 941.43 × 402.47
  4. Step 4: Simplify right side
    682.15x = 378,897.33
  5. Step 5: Solve for x
    x = 378,897.33/682.15
  6. Step 6: Final answer
    x = 555.45

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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.