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Finding the Fourth Proportional to 843.61, 1,164.18 and 465.54

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Solution

The fourth proportional to 843.61, 1,164.18 and 465.54 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.61 : 1,164.18 = 465.54 : x
  2. Step 2: Convert to fraction form
    843.61/1,164.18 = 465.54/x
  3. Step 3: Cross multiply
    843.61x = 1,164.18 × 465.54
  4. Step 4: Simplify right side
    843.61x = 541,972.36
  5. Step 5: Solve for x
    x = 541,972.36/843.61
  6. Step 6: Final answer
    x = 642.44

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1.5x scale

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.