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Finding the Fourth Proportional to 922.72, 1,384.32 and 758.46

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Solution

The fourth proportional to 922.72, 1,384.32 and 758.46 is: 1,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,384.32 = 758.46 : x
  2. Step 2: Convert to fraction form
    922.72/1,384.32 = 758.46/x
  3. Step 3: Cross multiply
    922.72x = 1,384.32 × 758.46
  4. Step 4: Simplify right side
    922.72x = 1,049,951.35
  5. Step 5: Solve for x
    x = 1,049,951.35/922.72
  6. Step 6: Final answer
    x = 1,137.89

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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.