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Finding the Fourth Proportional to 558.11, 770.15 and 309.41

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Solution

The fourth proportional to 558.11, 770.15 and 309.41 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.11 : 770.15 = 309.41 : x
  2. Step 2: Convert to fraction form
    558.11/770.15 = 309.41/x
  3. Step 3: Cross multiply
    558.11x = 770.15 × 309.41
  4. Step 4: Simplify right side
    558.11x = 238,292.11
  5. Step 5: Solve for x
    x = 238,292.11/558.11
  6. Step 6: Final answer
    x = 426.97

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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.