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Finding the Fourth Proportional to 557.76, 836.91 and 314.22

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Solution

The fourth proportional to 557.76, 836.91 and 314.22 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 836.91 = 314.22 : x
  2. Step 2: Convert to fraction form
    557.76/836.91 = 314.22/x
  3. Step 3: Cross multiply
    557.76x = 836.91 × 314.22
  4. Step 4: Simplify right side
    557.76x = 262,973.86
  5. Step 5: Solve for x
    x = 262,973.86/557.76
  6. Step 6: Final answer
    x = 471.48

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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.