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Finding the Fourth Proportional to 557.40, 769.15 and 336.37

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Solution

The fourth proportional to 557.40, 769.15 and 336.37 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 769.15 = 336.37 : x
  2. Step 2: Convert to fraction form
    557.40/769.15 = 336.37/x
  3. Step 3: Cross multiply
    557.40x = 769.15 × 336.37
  4. Step 4: Simplify right side
    557.40x = 258,717.30
  5. Step 5: Solve for x
    x = 258,717.30/557.40
  6. Step 6: Final answer
    x = 464.15

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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.