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Finding the Fourth Proportional to 940.92, 1,298.42 and 515.48

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Solution

The fourth proportional to 940.92, 1,298.42 and 515.48 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.92 : 1,298.42 = 515.48 : x
  2. Step 2: Convert to fraction form
    940.92/1,298.42 = 515.48/x
  3. Step 3: Cross multiply
    940.92x = 1,298.42 × 515.48
  4. Step 4: Simplify right side
    940.92x = 669,300.47
  5. Step 5: Solve for x
    x = 669,300.47/940.92
  6. Step 6: Final answer
    x = 711.33

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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.