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Finding the Fourth Proportional to 558.57, 770.82 and 309.88

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Solution

The fourth proportional to 558.57, 770.82 and 309.88 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.57 : 770.82 = 309.88 : x
  2. Step 2: Convert to fraction form
    558.57/770.82 = 309.88/x
  3. Step 3: Cross multiply
    558.57x = 770.82 × 309.88
  4. Step 4: Simplify right side
    558.57x = 238,857.17
  5. Step 5: Solve for x
    x = 238,857.17/558.57
  6. Step 6: Final answer
    x = 427.62

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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.