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Finding the Fourth Proportional to 682.02, 940.23 and 507.06

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Solution

The fourth proportional to 682.02, 940.23 and 507.06 is: 699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 940.23 = 507.06 : x
  2. Step 2: Convert to fraction form
    682.02/940.23 = 507.06/x
  3. Step 3: Cross multiply
    682.02x = 940.23 × 507.06
  4. Step 4: Simplify right side
    682.02x = 476,753.02
  5. Step 5: Solve for x
    x = 476,753.02/682.02
  6. Step 6: Final answer
    x = 699.03

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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.