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Finding the Fourth Proportional to 865.64, 1,194.21 and 533.85

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Solution

The fourth proportional to 865.64, 1,194.21 and 533.85 is: 736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.64 : 1,194.21 = 533.85 : x
  2. Step 2: Convert to fraction form
    865.64/1,194.21 = 533.85/x
  3. Step 3: Cross multiply
    865.64x = 1,194.21 × 533.85
  4. Step 4: Simplify right side
    865.64x = 637,529.01
  5. Step 5: Solve for x
    x = 637,529.01/865.64
  6. Step 6: Final answer
    x = 736.49

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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.