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Finding the Fourth Proportional to 535.25, 800.69 and 461.05

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Solution

The fourth proportional to 535.25, 800.69 and 461.05 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 800.69 = 461.05 : x
  2. Step 2: Convert to fraction form
    535.25/800.69 = 461.05/x
  3. Step 3: Cross multiply
    535.25x = 800.69 × 461.05
  4. Step 4: Simplify right side
    535.25x = 369,153.82
  5. Step 5: Solve for x
    x = 369,153.82/535.25
  6. Step 6: Final answer
    x = 689.68

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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.