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Finding the Fourth Proportional to 558.02, 770.00 and 309.33

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Solution

The fourth proportional to 558.02, 770.00 and 309.33 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.02 : 770.00 = 309.33 : x
  2. Step 2: Convert to fraction form
    558.02/770.00 = 309.33/x
  3. Step 3: Cross multiply
    558.02x = 770.00 × 309.33
  4. Step 4: Simplify right side
    558.02x = 238,184.87
  5. Step 5: Solve for x
    x = 238,184.87/558.02
  6. Step 6: Final answer
    x = 426.84

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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.