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Finding the Fourth Proportional to 1,644.13, 2,467.29 and 778.51

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Solution

The fourth proportional to 1,644.13, 2,467.29 and 778.51 is: 1,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.13 : 2,467.29 = 778.51 : x
  2. Step 2: Convert to fraction form
    1,644.13/2,467.29 = 778.51/x
  3. Step 3: Cross multiply
    1,644.13x = 2,467.29 × 778.51
  4. Step 4: Simplify right side
    1,644.13x = 1,920,797.60
  5. Step 5: Solve for x
    x = 1,920,797.60/1,644.13
  6. Step 6: Final answer
    x = 1,168.28

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1.5x scale

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.