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Finding the Fourth Proportional to 1,168.12, 1,751.28 and 474.61

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Solution

The fourth proportional to 1,168.12, 1,751.28 and 474.61 is: 711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.12 : 1,751.28 = 474.61 : x
  2. Step 2: Convert to fraction form
    1,168.12/1,751.28 = 474.61/x
  3. Step 3: Cross multiply
    1,168.12x = 1,751.28 × 474.61
  4. Step 4: Simplify right side
    1,168.12x = 831,175.00
  5. Step 5: Solve for x
    x = 831,175.00/1,168.12
  6. Step 6: Final answer
    x = 711.55

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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.