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Finding the Fourth Proportional to 843.20, 1,164.12 and 528.93

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Solution

The fourth proportional to 843.20, 1,164.12 and 528.93 is: 730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.20 : 1,164.12 = 528.93 : x
  2. Step 2: Convert to fraction form
    843.20/1,164.12 = 528.93/x
  3. Step 3: Cross multiply
    843.20x = 1,164.12 × 528.93
  4. Step 4: Simplify right side
    843.20x = 615,737.99
  5. Step 5: Solve for x
    x = 615,737.99/843.20
  6. Step 6: Final answer
    x = 730.24

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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.