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Finding the Fourth Proportional to 557.36, 834.96 and 374.24

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Solution

The fourth proportional to 557.36, 834.96 and 374.24 is: 560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.36 : 834.96 = 374.24 : x
  2. Step 2: Convert to fraction form
    557.36/834.96 = 374.24/x
  3. Step 3: Cross multiply
    557.36x = 834.96 × 374.24
  4. Step 4: Simplify right side
    557.36x = 312,475.43
  5. Step 5: Solve for x
    x = 312,475.43/557.36
  6. Step 6: Final answer
    x = 560.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.