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Finding the Fourth Proportional to 558.12, 770.44 and 337.02

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Solution

The fourth proportional to 558.12, 770.44 and 337.02 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.12 : 770.44 = 337.02 : x
  2. Step 2: Convert to fraction form
    558.12/770.44 = 337.02/x
  3. Step 3: Cross multiply
    558.12x = 770.44 × 337.02
  4. Step 4: Simplify right side
    558.12x = 259,653.69
  5. Step 5: Solve for x
    x = 259,653.69/558.12
  6. Step 6: Final answer
    x = 465.23

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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.