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Finding the Fourth Proportional to 568.42, 857.39 and 534.70

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Solution

The fourth proportional to 568.42, 857.39 and 534.70 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 857.39 = 534.70 : x
  2. Step 2: Convert to fraction form
    568.42/857.39 = 534.70/x
  3. Step 3: Cross multiply
    568.42x = 857.39 × 534.70
  4. Step 4: Simplify right side
    568.42x = 458,444.83
  5. Step 5: Solve for x
    x = 458,444.83/568.42
  6. Step 6: Final answer
    x = 806.53

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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.