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Finding the Fourth Proportional to 1,248.98, 1,723.29 and 935.28

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Solution

The fourth proportional to 1,248.98, 1,723.29 and 935.28 is: 1,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.98 : 1,723.29 = 935.28 : x
  2. Step 2: Convert to fraction form
    1,248.98/1,723.29 = 935.28/x
  3. Step 3: Cross multiply
    1,248.98x = 1,723.29 × 935.28
  4. Step 4: Simplify right side
    1,248.98x = 1,611,763.75
  5. Step 5: Solve for x
    x = 1,611,763.75/1,248.98
  6. Step 6: Final answer
    x = 1,290.46

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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.