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Finding the Fourth Proportional to 761.97, 1,142.94 and 248.97

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Solution

The fourth proportional to 761.97, 1,142.94 and 248.97 is: 373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.97 : 1,142.94 = 248.97 : x
  2. Step 2: Convert to fraction form
    761.97/1,142.94 = 248.97/x
  3. Step 3: Cross multiply
    761.97x = 1,142.94 × 248.97
  4. Step 4: Simplify right side
    761.97x = 284,557.77
  5. Step 5: Solve for x
    x = 284,557.77/761.97
  6. Step 6: Final answer
    x = 373.45

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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.