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Finding the Fourth Proportional to 682.62, 942.37 and 459.72

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Solution

The fourth proportional to 682.62, 942.37 and 459.72 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 942.37 = 459.72 : x
  2. Step 2: Convert to fraction form
    682.62/942.37 = 459.72/x
  3. Step 3: Cross multiply
    682.62x = 942.37 × 459.72
  4. Step 4: Simplify right side
    682.62x = 433,226.34
  5. Step 5: Solve for x
    x = 433,226.34/682.62
  6. Step 6: Final answer
    x = 634.66

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1.5x scale

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.