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Finding the Fourth Proportional to 807.96, 1,212.54 and 533.94

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Solution

The fourth proportional to 807.96, 1,212.54 and 533.94 is: 801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.96 : 1,212.54 = 533.94 : x
  2. Step 2: Convert to fraction form
    807.96/1,212.54 = 533.94/x
  3. Step 3: Cross multiply
    807.96x = 1,212.54 × 533.94
  4. Step 4: Simplify right side
    807.96x = 647,423.61
  5. Step 5: Solve for x
    x = 647,423.61/807.96
  6. Step 6: Final answer
    x = 801.31

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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.