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Finding the Fourth Proportional to 604.47, 836.15 and 505.92

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Solution

The fourth proportional to 604.47, 836.15 and 505.92 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.47 : 836.15 = 505.92 : x
  2. Step 2: Convert to fraction form
    604.47/836.15 = 505.92/x
  3. Step 3: Cross multiply
    604.47x = 836.15 × 505.92
  4. Step 4: Simplify right side
    604.47x = 423,022.48
  5. Step 5: Solve for x
    x = 423,022.48/604.47
  6. Step 6: Final answer
    x = 699.82

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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.