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Finding the Fourth Proportional to 557.26, 835.68 and 313.86

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Solution

The fourth proportional to 557.26, 835.68 and 313.86 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.26 : 835.68 = 313.86 : x
  2. Step 2: Convert to fraction form
    557.26/835.68 = 313.86/x
  3. Step 3: Cross multiply
    557.26x = 835.68 × 313.86
  4. Step 4: Simplify right side
    557.26x = 262,286.52
  5. Step 5: Solve for x
    x = 262,286.52/557.26
  6. Step 6: Final answer
    x = 470.67

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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.