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Finding the Fourth Proportional to 557.46, 835.74 and 394.74

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Solution

The fourth proportional to 557.46, 835.74 and 394.74 is: 591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 835.74 = 394.74 : x
  2. Step 2: Convert to fraction form
    557.46/835.74 = 394.74/x
  3. Step 3: Cross multiply
    557.46x = 835.74 × 394.74
  4. Step 4: Simplify right side
    557.46x = 329,900.01
  5. Step 5: Solve for x
    x = 329,900.01/557.46
  6. Step 6: Final answer
    x = 591.79

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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.