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Finding the Fourth Proportional to 682.63, 942.17 and 402.84

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Solution

The fourth proportional to 682.63, 942.17 and 402.84 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.63 : 942.17 = 402.84 : x
  2. Step 2: Convert to fraction form
    682.63/942.17 = 402.84/x
  3. Step 3: Cross multiply
    682.63x = 942.17 × 402.84
  4. Step 4: Simplify right side
    682.63x = 379,541.75
  5. Step 5: Solve for x
    x = 379,541.75/682.63
  6. Step 6: Final answer
    x = 556.00

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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.