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Finding the Fourth Proportional to 1,776.77, 2,664.61 and 622.25

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Solution

The fourth proportional to 1,776.77, 2,664.61 and 622.25 is: 933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.77 : 2,664.61 = 622.25 : x
  2. Step 2: Convert to fraction form
    1,776.77/2,664.61 = 622.25/x
  3. Step 3: Cross multiply
    1,776.77x = 2,664.61 × 622.25
  4. Step 4: Simplify right side
    1,776.77x = 1,658,053.57
  5. Step 5: Solve for x
    x = 1,658,053.57/1,776.77
  6. Step 6: Final answer
    x = 933.18

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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.