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Finding the Fourth Proportional to 558.19, 770.31 and 337.08

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Solution

The fourth proportional to 558.19, 770.31 and 337.08 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.19 : 770.31 = 337.08 : x
  2. Step 2: Convert to fraction form
    558.19/770.31 = 337.08/x
  3. Step 3: Cross multiply
    558.19x = 770.31 × 337.08
  4. Step 4: Simplify right side
    558.19x = 259,654.41
  5. Step 5: Solve for x
    x = 259,654.41/558.19
  6. Step 6: Final answer
    x = 465.18

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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.