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Finding the Fourth Proportional to 1,170.72, 1,756.24 and 401.04

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Solution

The fourth proportional to 1,170.72, 1,756.24 and 401.04 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.72 : 1,756.24 = 401.04 : x
  2. Step 2: Convert to fraction form
    1,170.72/1,756.24 = 401.04/x
  3. Step 3: Cross multiply
    1,170.72x = 1,756.24 × 401.04
  4. Step 4: Simplify right side
    1,170.72x = 704,322.49
  5. Step 5: Solve for x
    x = 704,322.49/1,170.72
  6. Step 6: Final answer
    x = 601.61

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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.