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Finding the Fourth Proportional to 557.97, 770.70 and 393

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Solution

The fourth proportional to 557.97, 770.70 and 393 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.97 : 770.70 = 393 : x
  2. Step 2: Convert to fraction form
    557.97/770.70 = 393/x
  3. Step 3: Cross multiply
    557.97x = 770.70 × 393
  4. Step 4: Simplify right side
    557.97x = 302,885.10
  5. Step 5: Solve for x
    x = 302,885.10/557.97
  6. Step 6: Final answer
    x = 542.83

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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.