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Finding the Fourth Proportional to 682.63, 942.16 and 402.95

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Solution

The fourth proportional to 682.63, 942.16 and 402.95 is: 556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.63 : 942.16 = 402.95 : x
  2. Step 2: Convert to fraction form
    682.63/942.16 = 402.95/x
  3. Step 3: Cross multiply
    682.63x = 942.16 × 402.95
  4. Step 4: Simplify right side
    682.63x = 379,643.37
  5. Step 5: Solve for x
    x = 379,643.37/682.63
  6. Step 6: Final answer
    x = 556.15

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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.