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Finding the Fourth Proportional to 1,143.88, 1,577.94 and 678.04

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Solution

The fourth proportional to 1,143.88, 1,577.94 and 678.04 is: 935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.88 : 1,577.94 = 678.04 : x
  2. Step 2: Convert to fraction form
    1,143.88/1,577.94 = 678.04/x
  3. Step 3: Cross multiply
    1,143.88x = 1,577.94 × 678.04
  4. Step 4: Simplify right side
    1,143.88x = 1,069,906.44
  5. Step 5: Solve for x
    x = 1,069,906.44/1,143.88
  6. Step 6: Final answer
    x = 935.33

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1.5x scale

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.