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Finding the Fourth Proportional to 557.18, 768.50 and 347.12

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Solution

The fourth proportional to 557.18, 768.50 and 347.12 is: 478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.18 : 768.50 = 347.12 : x
  2. Step 2: Convert to fraction form
    557.18/768.50 = 347.12/x
  3. Step 3: Cross multiply
    557.18x = 768.50 × 347.12
  4. Step 4: Simplify right side
    557.18x = 266,756.14
  5. Step 5: Solve for x
    x = 266,756.14/557.18
  6. Step 6: Final answer
    x = 478.77

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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.