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Finding the Fourth Proportional to 599.46, 893.19 and 534.78

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Solution

The fourth proportional to 599.46, 893.19 and 534.78 is: 796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.46 : 893.19 = 534.78 : x
  2. Step 2: Convert to fraction form
    599.46/893.19 = 534.78/x
  3. Step 3: Cross multiply
    599.46x = 893.19 × 534.78
  4. Step 4: Simplify right side
    599.46x = 477,657.47
  5. Step 5: Solve for x
    x = 477,657.47/599.46
  6. Step 6: Final answer
    x = 796.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.