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Finding the Fourth Proportional to 558.56, 770.96 and 392.80

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Solution

The fourth proportional to 558.56, 770.96 and 392.80 is: 542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.56 : 770.96 = 392.80 : x
  2. Step 2: Convert to fraction form
    558.56/770.96 = 392.80/x
  3. Step 3: Cross multiply
    558.56x = 770.96 × 392.80
  4. Step 4: Simplify right side
    558.56x = 302,833.09
  5. Step 5: Solve for x
    x = 302,833.09/558.56
  6. Step 6: Final answer
    x = 542.17

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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.