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Finding the Fourth Proportional to 940.28, 1,410.96 and 507.92

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Solution

The fourth proportional to 940.28, 1,410.96 and 507.92 is: 762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.28 : 1,410.96 = 507.92 : x
  2. Step 2: Convert to fraction form
    940.28/1,410.96 = 507.92/x
  3. Step 3: Cross multiply
    940.28x = 1,410.96 × 507.92
  4. Step 4: Simplify right side
    940.28x = 716,654.80
  5. Step 5: Solve for x
    x = 716,654.80/940.28
  6. Step 6: Final answer
    x = 762.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.