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Finding the Fourth Proportional to 927.62, 1,383.57 and 782.33

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Solution

The fourth proportional to 927.62, 1,383.57 and 782.33 is: 1,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.62 : 1,383.57 = 782.33 : x
  2. Step 2: Convert to fraction form
    927.62/1,383.57 = 782.33/x
  3. Step 3: Cross multiply
    927.62x = 1,383.57 × 782.33
  4. Step 4: Simplify right side
    927.62x = 1,082,408.32
  5. Step 5: Solve for x
    x = 1,082,408.32/927.62
  6. Step 6: Final answer
    x = 1,166.87

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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.