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Finding the Fourth Proportional to 604.21, 904.63 and 311.08

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Solution

The fourth proportional to 604.21, 904.63 and 311.08 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.21 : 904.63 = 311.08 : x
  2. Step 2: Convert to fraction form
    604.21/904.63 = 311.08/x
  3. Step 3: Cross multiply
    604.21x = 904.63 × 311.08
  4. Step 4: Simplify right side
    604.21x = 281,412.30
  5. Step 5: Solve for x
    x = 281,412.30/604.21
  6. Step 6: Final answer
    x = 465.75

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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.