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Finding the Fourth Proportional to 535.76, 808.22 and 534.68

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Solution

The fourth proportional to 535.76, 808.22 and 534.68 is: 806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.76 : 808.22 = 534.68 : x
  2. Step 2: Convert to fraction form
    535.76/808.22 = 534.68/x
  3. Step 3: Cross multiply
    535.76x = 808.22 × 534.68
  4. Step 4: Simplify right side
    535.76x = 432,139.07
  5. Step 5: Solve for x
    x = 432,139.07/535.76
  6. Step 6: Final answer
    x = 806.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.