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Finding the Fourth Proportional to 555.66, 832.95 and 311.69

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Solution

The fourth proportional to 555.66, 832.95 and 311.69 is: 467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 832.95 = 311.69 : x
  2. Step 2: Convert to fraction form
    555.66/832.95 = 311.69/x
  3. Step 3: Cross multiply
    555.66x = 832.95 × 311.69
  4. Step 4: Simplify right side
    555.66x = 259,624.27
  5. Step 5: Solve for x
    x = 259,624.27/555.66
  6. Step 6: Final answer
    x = 467.24

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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.