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Finding the Fourth Proportional to 846.66, 1,168.25 and 532.11

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Solution

The fourth proportional to 846.66, 1,168.25 and 532.11 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.66 : 1,168.25 = 532.11 : x
  2. Step 2: Convert to fraction form
    846.66/1,168.25 = 532.11/x
  3. Step 3: Cross multiply
    846.66x = 1,168.25 × 532.11
  4. Step 4: Simplify right side
    846.66x = 621,634.85
  5. Step 5: Solve for x
    x = 621,634.85/846.66
  6. Step 6: Final answer
    x = 734.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.