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Finding the Fourth Proportional to 558.59, 770.76 and 319.31

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Solution

The fourth proportional to 558.59, 770.76 and 319.31 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.59 : 770.76 = 319.31 : x
  2. Step 2: Convert to fraction form
    558.59/770.76 = 319.31/x
  3. Step 3: Cross multiply
    558.59x = 770.76 × 319.31
  4. Step 4: Simplify right side
    558.59x = 246,107.52
  5. Step 5: Solve for x
    x = 246,107.52/558.59
  6. Step 6: Final answer
    x = 440.59

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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.