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Finding the Fourth Proportional to 604.02, 834.23 and 407.19

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Solution

The fourth proportional to 604.02, 834.23 and 407.19 is: 562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.02 : 834.23 = 407.19 : x
  2. Step 2: Convert to fraction form
    604.02/834.23 = 407.19/x
  3. Step 3: Cross multiply
    604.02x = 834.23 × 407.19
  4. Step 4: Simplify right side
    604.02x = 339,683.91
  5. Step 5: Solve for x
    x = 339,683.91/604.02
  6. Step 6: Final answer
    x = 562.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.