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Finding the Fourth Proportional to 927.05, 1,389.05 and 666.63

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Solution

The fourth proportional to 927.05, 1,389.05 and 666.63 is: 998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.05 : 1,389.05 = 666.63 : x
  2. Step 2: Convert to fraction form
    927.05/1,389.05 = 666.63/x
  3. Step 3: Cross multiply
    927.05x = 1,389.05 × 666.63
  4. Step 4: Simplify right side
    927.05x = 925,981.57
  5. Step 5: Solve for x
    x = 925,981.57/927.05
  6. Step 6: Final answer
    x = 998.85

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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.