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Finding the Fourth Proportional to 558.49, 770.69 and 309.80

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Solution

The fourth proportional to 558.49, 770.69 and 309.80 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.49 : 770.69 = 309.80 : x
  2. Step 2: Convert to fraction form
    558.49/770.69 = 309.80/x
  3. Step 3: Cross multiply
    558.49x = 770.69 × 309.80
  4. Step 4: Simplify right side
    558.49x = 238,759.74
  5. Step 5: Solve for x
    x = 238,759.74/558.49
  6. Step 6: Final answer
    x = 427.51

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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.