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Finding the Fourth Proportional to 535.84, 801.71 and 534.47

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Solution

The fourth proportional to 535.84, 801.71 and 534.47 is: 799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 801.71 = 534.47 : x
  2. Step 2: Convert to fraction form
    535.84/801.71 = 534.47/x
  3. Step 3: Cross multiply
    535.84x = 801.71 × 534.47
  4. Step 4: Simplify right side
    535.84x = 428,489.94
  5. Step 5: Solve for x
    x = 428,489.94/535.84
  6. Step 6: Final answer
    x = 799.66

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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.