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Finding the Fourth Proportional to 533.83, 802.10 and 512.23

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Solution

The fourth proportional to 533.83, 802.10 and 512.23 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.83 : 802.10 = 512.23 : x
  2. Step 2: Convert to fraction form
    533.83/802.10 = 512.23/x
  3. Step 3: Cross multiply
    533.83x = 802.10 × 512.23
  4. Step 4: Simplify right side
    533.83x = 410,859.68
  5. Step 5: Solve for x
    x = 410,859.68/533.83
  6. Step 6: Final answer
    x = 769.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.