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Finding the Fourth Proportional to 558.49, 770.48 and 392.81

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Solution

The fourth proportional to 558.49, 770.48 and 392.81 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.49 : 770.48 = 392.81 : x
  2. Step 2: Convert to fraction form
    558.49/770.48 = 392.81/x
  3. Step 3: Cross multiply
    558.49x = 770.48 × 392.81
  4. Step 4: Simplify right side
    558.49x = 302,650.28
  5. Step 5: Solve for x
    x = 302,650.28/558.49
  6. Step 6: Final answer
    x = 541.91

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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.