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Finding the Fourth Proportional to 997.93, 1,374.24 and 776.51

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Solution

The fourth proportional to 997.93, 1,374.24 and 776.51 is: 1,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.93 : 1,374.24 = 776.51 : x
  2. Step 2: Convert to fraction form
    997.93/1,374.24 = 776.51/x
  3. Step 3: Cross multiply
    997.93x = 1,374.24 × 776.51
  4. Step 4: Simplify right side
    997.93x = 1,067,111.10
  5. Step 5: Solve for x
    x = 1,067,111.10/997.93
  6. Step 6: Final answer
    x = 1,069.32

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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.