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Finding the Fourth Proportional to 557.86, 836.11 and 313.88

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Solution

The fourth proportional to 557.86, 836.11 and 313.88 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 836.11 = 313.88 : x
  2. Step 2: Convert to fraction form
    557.86/836.11 = 313.88/x
  3. Step 3: Cross multiply
    557.86x = 836.11 × 313.88
  4. Step 4: Simplify right side
    557.86x = 262,438.21
  5. Step 5: Solve for x
    x = 262,438.21/557.86
  6. Step 6: Final answer
    x = 470.44

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