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Finding the Fourth Proportional to 558.82, 770.92 and 322.58

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Solution

The fourth proportional to 558.82, 770.92 and 322.58 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.82 : 770.92 = 322.58 : x
  2. Step 2: Convert to fraction form
    558.82/770.92 = 322.58/x
  3. Step 3: Cross multiply
    558.82x = 770.92 × 322.58
  4. Step 4: Simplify right side
    558.82x = 248,684.49
  5. Step 5: Solve for x
    x = 248,684.49/558.82
  6. Step 6: Final answer
    x = 445.01

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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.