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Finding the Fourth Proportional to 1,052.22, 1,577.79 and 613.61

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Solution

The fourth proportional to 1,052.22, 1,577.79 and 613.61 is: 920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.22 : 1,577.79 = 613.61 : x
  2. Step 2: Convert to fraction form
    1,052.22/1,577.79 = 613.61/x
  3. Step 3: Cross multiply
    1,052.22x = 1,577.79 × 613.61
  4. Step 4: Simplify right side
    1,052.22x = 968,139.83
  5. Step 5: Solve for x
    x = 968,139.83/1,052.22
  6. Step 6: Final answer
    x = 920.10

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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.