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Finding the Fourth Proportional to 836.93, 1,254.69 and 420.19

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Solution

The fourth proportional to 836.93, 1,254.69 and 420.19 is: 629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.93 : 1,254.69 = 420.19 : x
  2. Step 2: Convert to fraction form
    836.93/1,254.69 = 420.19/x
  3. Step 3: Cross multiply
    836.93x = 1,254.69 × 420.19
  4. Step 4: Simplify right side
    836.93x = 527,205.05
  5. Step 5: Solve for x
    x = 527,205.05/836.93
  6. Step 6: Final answer
    x = 629.93

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Why These Related Problems?

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