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Finding the Fourth Proportional to 610.42, 836.90 and 599.50

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Solution

The fourth proportional to 610.42, 836.90 and 599.50 is: 821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 836.90 = 599.50 : x
  2. Step 2: Convert to fraction form
    610.42/836.90 = 599.50/x
  3. Step 3: Cross multiply
    610.42x = 836.90 × 599.50
  4. Step 4: Simplify right side
    610.42x = 501,721.55
  5. Step 5: Solve for x
    x = 501,721.55/610.42
  6. Step 6: Final answer
    x = 821.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.