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Finding the Fourth Proportional to 927.49, 1,389.60 and 666.22

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Solution

The fourth proportional to 927.49, 1,389.60 and 666.22 is: 998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.49 : 1,389.60 = 666.22 : x
  2. Step 2: Convert to fraction form
    927.49/1,389.60 = 666.22/x
  3. Step 3: Cross multiply
    927.49x = 1,389.60 × 666.22
  4. Step 4: Simplify right side
    927.49x = 925,779.31
  5. Step 5: Solve for x
    x = 925,779.31/927.49
  6. Step 6: Final answer
    x = 998.16

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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.