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Finding the Fourth Proportional to 1,179.44, 1,767.36 and 602.72

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Solution

The fourth proportional to 1,179.44, 1,767.36 and 602.72 is: 903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.44 : 1,767.36 = 602.72 : x
  2. Step 2: Convert to fraction form
    1,179.44/1,767.36 = 602.72/x
  3. Step 3: Cross multiply
    1,179.44x = 1,767.36 × 602.72
  4. Step 4: Simplify right side
    1,179.44x = 1,065,223.22
  5. Step 5: Solve for x
    x = 1,065,223.22/1,179.44
  6. Step 6: Final answer
    x = 903.16

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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.