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Finding the Fourth Proportional to 1,145.92, 1,579.78 and 767.64

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Solution

The fourth proportional to 1,145.92, 1,579.78 and 767.64 is: 1,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.92 : 1,579.78 = 767.64 : x
  2. Step 2: Convert to fraction form
    1,145.92/1,579.78 = 767.64/x
  3. Step 3: Cross multiply
    1,145.92x = 1,579.78 × 767.64
  4. Step 4: Simplify right side
    1,145.92x = 1,212,702.32
  5. Step 5: Solve for x
    x = 1,212,702.32/1,145.92
  6. Step 6: Final answer
    x = 1,058.28

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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.