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Finding the Fourth Proportional to 682.16, 941.65 and 416.52

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Solution

The fourth proportional to 682.16, 941.65 and 416.52 is: 574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 941.65 = 416.52 : x
  2. Step 2: Convert to fraction form
    682.16/941.65 = 416.52/x
  3. Step 3: Cross multiply
    682.16x = 941.65 × 416.52
  4. Step 4: Simplify right side
    682.16x = 392,215.02
  5. Step 5: Solve for x
    x = 392,215.02/682.16
  6. Step 6: Final answer
    x = 574.96

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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.