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Finding the Fourth Proportional to 928.23, 1,392.54 and 516.51

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Solution

The fourth proportional to 928.23, 1,392.54 and 516.51 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.23 : 1,392.54 = 516.51 : x
  2. Step 2: Convert to fraction form
    928.23/1,392.54 = 516.51/x
  3. Step 3: Cross multiply
    928.23x = 1,392.54 × 516.51
  4. Step 4: Simplify right side
    928.23x = 719,260.84
  5. Step 5: Solve for x
    x = 719,260.84/928.23
  6. Step 6: Final answer
    x = 774.87

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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.