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Finding the Fourth Proportional to 622.35, 847.98 and 609.03

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Solution

The fourth proportional to 622.35, 847.98 and 609.03 is: 829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.35 : 847.98 = 609.03 : x
  2. Step 2: Convert to fraction form
    622.35/847.98 = 609.03/x
  3. Step 3: Cross multiply
    622.35x = 847.98 × 609.03
  4. Step 4: Simplify right side
    622.35x = 516,445.26
  5. Step 5: Solve for x
    x = 516,445.26/622.35
  6. Step 6: Final answer
    x = 829.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.