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Finding the Fourth Proportional to 1,143.52, 1,578.08 and 646.38

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Solution

The fourth proportional to 1,143.52, 1,578.08 and 646.38 is: 892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.52 : 1,578.08 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,143.52/1,578.08 = 646.38/x
  3. Step 3: Cross multiply
    1,143.52x = 1,578.08 × 646.38
  4. Step 4: Simplify right side
    1,143.52x = 1,020,040.97
  5. Step 5: Solve for x
    x = 1,020,040.97/1,143.52
  6. Step 6: Final answer
    x = 892.02

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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.