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Finding the Fourth Proportional to 928.11, 1,384.32 and 782.82

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Solution

The fourth proportional to 928.11, 1,384.32 and 782.82 is: 1,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.11 : 1,384.32 = 782.82 : x
  2. Step 2: Convert to fraction form
    928.11/1,384.32 = 782.82/x
  3. Step 3: Cross multiply
    928.11x = 1,384.32 × 782.82
  4. Step 4: Simplify right side
    928.11x = 1,083,673.38
  5. Step 5: Solve for x
    x = 1,083,673.38/928.11
  6. Step 6: Final answer
    x = 1,167.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.