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Finding the Fourth Proportional to 928.93, 1,393.43 and 517.75

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Solution

The fourth proportional to 928.93, 1,393.43 and 517.75 is: 776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.93 : 1,393.43 = 517.75 : x
  2. Step 2: Convert to fraction form
    928.93/1,393.43 = 517.75/x
  3. Step 3: Cross multiply
    928.93x = 1,393.43 × 517.75
  4. Step 4: Simplify right side
    928.93x = 721,448.38
  5. Step 5: Solve for x
    x = 721,448.38/928.93
  6. Step 6: Final answer
    x = 776.65

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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.