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Finding the Fourth Proportional to 682.79, 942.14 and 402.98

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Solution

The fourth proportional to 682.79, 942.14 and 402.98 is: 556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.79 : 942.14 = 402.98 : x
  2. Step 2: Convert to fraction form
    682.79/942.14 = 402.98/x
  3. Step 3: Cross multiply
    682.79x = 942.14 × 402.98
  4. Step 4: Simplify right side
    682.79x = 379,656.85
  5. Step 5: Solve for x
    x = 379,656.85/682.79
  6. Step 6: Final answer
    x = 556.04

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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.