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Finding the Fourth Proportional to 1,143.72, 1,578.60 and 678.04

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Solution

The fourth proportional to 1,143.72, 1,578.60 and 678.04 is: 935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.72 : 1,578.60 = 678.04 : x
  2. Step 2: Convert to fraction form
    1,143.72/1,578.60 = 678.04/x
  3. Step 3: Cross multiply
    1,143.72x = 1,578.60 × 678.04
  4. Step 4: Simplify right side
    1,143.72x = 1,070,353.94
  5. Step 5: Solve for x
    x = 1,070,353.94/1,143.72
  6. Step 6: Final answer
    x = 935.85

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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.