Home / 1,180.20-1,767.60-564.34

Finding the Fourth Proportional to 1,180.20, 1,767.60 and 564.34

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Solution

The fourth proportional to 1,180.20, 1,767.60 and 564.34 is: 845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.20 : 1,767.60 = 564.34 : x
  2. Step 2: Convert to fraction form
    1,180.20/1,767.60 = 564.34/x
  3. Step 3: Cross multiply
    1,180.20x = 1,767.60 × 564.34
  4. Step 4: Simplify right side
    1,180.20x = 997,518.55
  5. Step 5: Solve for x
    x = 997,518.55/1,180.20
  6. Step 6: Final answer
    x = 845.22

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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.