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Finding the Fourth Proportional to 609.42, 835.53 and 598.50

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Solution

The fourth proportional to 609.42, 835.53 and 598.50 is: 820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 835.53 = 598.50 : x
  2. Step 2: Convert to fraction form
    609.42/835.53 = 598.50/x
  3. Step 3: Cross multiply
    609.42x = 835.53 × 598.50
  4. Step 4: Simplify right side
    609.42x = 500,064.71
  5. Step 5: Solve for x
    x = 500,064.71/609.42
  6. Step 6: Final answer
    x = 820.56

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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.