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Finding the Fourth Proportional to 928.81, 1,393.47 and 518.24

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Solution

The fourth proportional to 928.81, 1,393.47 and 518.24 is: 777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.81 : 1,393.47 = 518.24 : x
  2. Step 2: Convert to fraction form
    928.81/1,393.47 = 518.24/x
  3. Step 3: Cross multiply
    928.81x = 1,393.47 × 518.24
  4. Step 4: Simplify right side
    928.81x = 722,155.38
  5. Step 5: Solve for x
    x = 722,155.38/928.81
  6. Step 6: Final answer
    x = 777.51

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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.