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Finding the Fourth Proportional to 558.14, 837.21 and 314.69

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Solution

The fourth proportional to 558.14, 837.21 and 314.69 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.14 : 837.21 = 314.69 : x
  2. Step 2: Convert to fraction form
    558.14/837.21 = 314.69/x
  3. Step 3: Cross multiply
    558.14x = 837.21 × 314.69
  4. Step 4: Simplify right side
    558.14x = 263,457.72
  5. Step 5: Solve for x
    x = 263,457.72/558.14
  6. Step 6: Final answer
    x = 472.03

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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.