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Finding the Fourth Proportional to 682.64, 942.57 and 446.66

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Solution

The fourth proportional to 682.64, 942.57 and 446.66 is: 616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.64 : 942.57 = 446.66 : x
  2. Step 2: Convert to fraction form
    682.64/942.57 = 446.66/x
  3. Step 3: Cross multiply
    682.64x = 942.57 × 446.66
  4. Step 4: Simplify right side
    682.64x = 421,008.32
  5. Step 5: Solve for x
    x = 421,008.32/682.64
  6. Step 6: Final answer
    x = 616.74

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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.