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Finding the Fourth Proportional to 604.74, 834.28 and 368.61

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Solution

The fourth proportional to 604.74, 834.28 and 368.61 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.74 : 834.28 = 368.61 : x
  2. Step 2: Convert to fraction form
    604.74/834.28 = 368.61/x
  3. Step 3: Cross multiply
    604.74x = 834.28 × 368.61
  4. Step 4: Simplify right side
    604.74x = 307,523.95
  5. Step 5: Solve for x
    x = 307,523.95/604.74
  6. Step 6: Final answer
    x = 508.52

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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.