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Finding the Fourth Proportional to 682.23, 942.01 and 524.62

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Solution

The fourth proportional to 682.23, 942.01 and 524.62 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 942.01 = 524.62 : x
  2. Step 2: Convert to fraction form
    682.23/942.01 = 524.62/x
  3. Step 3: Cross multiply
    682.23x = 942.01 × 524.62
  4. Step 4: Simplify right side
    682.23x = 494,193.62
  5. Step 5: Solve for x
    x = 494,193.62/682.23
  6. Step 6: Final answer
    x = 724.38

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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.