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Finding the Fourth Proportional to 558.47, 770.43 and 392.79

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Solution

The fourth proportional to 558.47, 770.43 and 392.79 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.47 : 770.43 = 392.79 : x
  2. Step 2: Convert to fraction form
    558.47/770.43 = 392.79/x
  3. Step 3: Cross multiply
    558.47x = 770.43 × 392.79
  4. Step 4: Simplify right side
    558.47x = 302,613.35
  5. Step 5: Solve for x
    x = 302,613.35/558.47
  6. Step 6: Final answer
    x = 541.87

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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.