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Finding the Fourth Proportional to 1,054.25, 1,578.26 and 778.51

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Solution

The fourth proportional to 1,054.25, 1,578.26 and 778.51 is: 1,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.25 : 1,578.26 = 778.51 : x
  2. Step 2: Convert to fraction form
    1,054.25/1,578.26 = 778.51/x
  3. Step 3: Cross multiply
    1,054.25x = 1,578.26 × 778.51
  4. Step 4: Simplify right side
    1,054.25x = 1,228,691.19
  5. Step 5: Solve for x
    x = 1,228,691.19/1,054.25
  6. Step 6: Final answer
    x = 1,165.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.