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Finding the Fourth Proportional to 554.37, 830.47 and 311.05

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Solution

The fourth proportional to 554.37, 830.47 and 311.05 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.37 : 830.47 = 311.05 : x
  2. Step 2: Convert to fraction form
    554.37/830.47 = 311.05/x
  3. Step 3: Cross multiply
    554.37x = 830.47 × 311.05
  4. Step 4: Simplify right side
    554.37x = 258,317.69
  5. Step 5: Solve for x
    x = 258,317.69/554.37
  6. Step 6: Final answer
    x = 465.97

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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.