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Finding the Fourth Proportional to 604.33, 834.66 and 407.50

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Solution

The fourth proportional to 604.33, 834.66 and 407.50 is: 562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.33 : 834.66 = 407.50 : x
  2. Step 2: Convert to fraction form
    604.33/834.66 = 407.50/x
  3. Step 3: Cross multiply
    604.33x = 834.66 × 407.50
  4. Step 4: Simplify right side
    604.33x = 340,123.95
  5. Step 5: Solve for x
    x = 340,123.95/604.33
  6. Step 6: Final answer
    x = 562.81

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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.