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Finding the Fourth Proportional to 927.24, 1,277.01 and 716.64

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Solution

The fourth proportional to 927.24, 1,277.01 and 716.64 is: 986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.24 : 1,277.01 = 716.64 : x
  2. Step 2: Convert to fraction form
    927.24/1,277.01 = 716.64/x
  3. Step 3: Cross multiply
    927.24x = 1,277.01 × 716.64
  4. Step 4: Simplify right side
    927.24x = 915,156.45
  5. Step 5: Solve for x
    x = 915,156.45/927.24
  6. Step 6: Final answer
    x = 986.97

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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.