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Finding the Fourth Proportional to 927.49, 1,277.74 and 647.23

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Solution

The fourth proportional to 927.49, 1,277.74 and 647.23 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.49 : 1,277.74 = 647.23 : x
  2. Step 2: Convert to fraction form
    927.49/1,277.74 = 647.23/x
  3. Step 3: Cross multiply
    927.49x = 1,277.74 × 647.23
  4. Step 4: Simplify right side
    927.49x = 826,991.66
  5. Step 5: Solve for x
    x = 826,991.66/927.49
  6. Step 6: Final answer
    x = 891.64

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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.