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Finding the Fourth Proportional to 558.20, 770.34 and 309.53

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Solution

The fourth proportional to 558.20, 770.34 and 309.53 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.20 : 770.34 = 309.53 : x
  2. Step 2: Convert to fraction form
    558.20/770.34 = 309.53/x
  3. Step 3: Cross multiply
    558.20x = 770.34 × 309.53
  4. Step 4: Simplify right side
    558.20x = 238,443.34
  5. Step 5: Solve for x
    x = 238,443.34/558.20
  6. Step 6: Final answer
    x = 427.16

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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.