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Finding the Fourth Proportional to 927.02, 1,278.96 and 661.50

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Solution

The fourth proportional to 927.02, 1,278.96 and 661.50 is: 912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.02 : 1,278.96 = 661.50 : x
  2. Step 2: Convert to fraction form
    927.02/1,278.96 = 661.50/x
  3. Step 3: Cross multiply
    927.02x = 1,278.96 × 661.50
  4. Step 4: Simplify right side
    927.02x = 846,032.04
  5. Step 5: Solve for x
    x = 846,032.04/927.02
  6. Step 6: Final answer
    x = 912.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.