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Finding the Fourth Proportional to 599.16, 902.01 and 539.63

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Solution

The fourth proportional to 599.16, 902.01 and 539.63 is: 812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 902.01 = 539.63 : x
  2. Step 2: Convert to fraction form
    599.16/902.01 = 539.63/x
  3. Step 3: Cross multiply
    599.16x = 902.01 × 539.63
  4. Step 4: Simplify right side
    599.16x = 486,751.66
  5. Step 5: Solve for x
    x = 486,751.66/599.16
  6. Step 6: Final answer
    x = 812.39

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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.