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Finding the Fourth Proportional to 558.27, 769.93 and 392.42

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Solution

The fourth proportional to 558.27, 769.93 and 392.42 is: 541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.27 : 769.93 = 392.42 : x
  2. Step 2: Convert to fraction form
    558.27/769.93 = 392.42/x
  3. Step 3: Cross multiply
    558.27x = 769.93 × 392.42
  4. Step 4: Simplify right side
    558.27x = 302,136.87
  5. Step 5: Solve for x
    x = 302,136.87/558.27
  6. Step 6: Final answer
    x = 541.20

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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.