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Finding the Fourth Proportional to 558.10, 770.14 and 337

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Solution

The fourth proportional to 558.10, 770.14 and 337 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.10 : 770.14 = 337 : x
  2. Step 2: Convert to fraction form
    558.10/770.14 = 337/x
  3. Step 3: Cross multiply
    558.10x = 770.14 × 337
  4. Step 4: Simplify right side
    558.10x = 259,537.18
  5. Step 5: Solve for x
    x = 259,537.18/558.10
  6. Step 6: Final answer
    x = 465.04

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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.