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Finding the Fourth Proportional to 922.94, 1,384.75 and 664.61

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Solution

The fourth proportional to 922.94, 1,384.75 and 664.61 is: 997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.94 : 1,384.75 = 664.61 : x
  2. Step 2: Convert to fraction form
    922.94/1,384.75 = 664.61/x
  3. Step 3: Cross multiply
    922.94x = 1,384.75 × 664.61
  4. Step 4: Simplify right side
    922.94x = 920,308.87
  5. Step 5: Solve for x
    x = 920,308.87/922.94
  6. Step 6: Final answer
    x = 997.14

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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.