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Finding the Fourth Proportional to 682.38, 940.14 and 507.42

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Solution

The fourth proportional to 682.38, 940.14 and 507.42 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 940.14 = 507.42 : x
  2. Step 2: Convert to fraction form
    682.38/940.14 = 507.42/x
  3. Step 3: Cross multiply
    682.38x = 940.14 × 507.42
  4. Step 4: Simplify right side
    682.38x = 477,045.84
  5. Step 5: Solve for x
    x = 477,045.84/682.38
  6. Step 6: Final answer
    x = 699.09

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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.