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Finding the Fourth Proportional to 557, 768.70 and 350.12

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Solution

The fourth proportional to 557, 768.70 and 350.12 is: 483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 768.70 = 350.12 : x
  2. Step 2: Convert to fraction form
    557/768.70 = 350.12/x
  3. Step 3: Cross multiply
    557x = 768.70 × 350.12
  4. Step 4: Simplify right side
    557x = 269,137.24
  5. Step 5: Solve for x
    x = 269,137.24/557
  6. Step 6: Final answer
    x = 483.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.