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Finding the Fourth Proportional to 555.16, 832.89 and 311.86

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Solution

The fourth proportional to 555.16, 832.89 and 311.86 is: 467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.89 = 311.86 : x
  2. Step 2: Convert to fraction form
    555.16/832.89 = 311.86/x
  3. Step 3: Cross multiply
    555.16x = 832.89 × 311.86
  4. Step 4: Simplify right side
    555.16x = 259,745.08
  5. Step 5: Solve for x
    x = 259,745.08/555.16
  6. Step 6: Final answer
    x = 467.87

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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.