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Finding the Fourth Proportional to 419.42, 628.34 and 289.26

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Solution

The fourth proportional to 419.42, 628.34 and 289.26 is: 433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.42 : 628.34 = 289.26 : x
  2. Step 2: Convert to fraction form
    419.42/628.34 = 289.26/x
  3. Step 3: Cross multiply
    419.42x = 628.34 × 289.26
  4. Step 4: Simplify right side
    419.42x = 181,753.63
  5. Step 5: Solve for x
    x = 181,753.63/419.42
  6. Step 6: Final answer
    x = 433.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.