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Finding the Fourth Proportional to 810.18, 1,118.22 and 558.45

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Solution

The fourth proportional to 810.18, 1,118.22 and 558.45 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.18 : 1,118.22 = 558.45 : x
  2. Step 2: Convert to fraction form
    810.18/1,118.22 = 558.45/x
  3. Step 3: Cross multiply
    810.18x = 1,118.22 × 558.45
  4. Step 4: Simplify right side
    810.18x = 624,469.96
  5. Step 5: Solve for x
    x = 624,469.96/810.18
  6. Step 6: Final answer
    x = 770.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.