Home / 1,176.72-1,765.20-407.04

Finding the Fourth Proportional to 1,176.72, 1,765.20 and 407.04

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Solution

The fourth proportional to 1,176.72, 1,765.20 and 407.04 is: 610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.72 : 1,765.20 = 407.04 : x
  2. Step 2: Convert to fraction form
    1,176.72/1,765.20 = 407.04/x
  3. Step 3: Cross multiply
    1,176.72x = 1,765.20 × 407.04
  4. Step 4: Simplify right side
    1,176.72x = 718,507.01
  5. Step 5: Solve for x
    x = 718,507.01/1,176.72
  6. Step 6: Final answer
    x = 610.60

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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.