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Finding the Fourth Proportional to 834.62, 1,152.04 and 539.88

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Solution

The fourth proportional to 834.62, 1,152.04 and 539.88 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.62 : 1,152.04 = 539.88 : x
  2. Step 2: Convert to fraction form
    834.62/1,152.04 = 539.88/x
  3. Step 3: Cross multiply
    834.62x = 1,152.04 × 539.88
  4. Step 4: Simplify right side
    834.62x = 621,963.36
  5. Step 5: Solve for x
    x = 621,963.36/834.62
  6. Step 6: Final answer
    x = 745.21

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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.