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Finding the Fourth Proportional to 835.72, 1,254.29 and 402.91

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Solution

The fourth proportional to 835.72, 1,254.29 and 402.91 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.72 : 1,254.29 = 402.91 : x
  2. Step 2: Convert to fraction form
    835.72/1,254.29 = 402.91/x
  3. Step 3: Cross multiply
    835.72x = 1,254.29 × 402.91
  4. Step 4: Simplify right side
    835.72x = 505,360.83
  5. Step 5: Solve for x
    x = 505,360.83/835.72
  6. Step 6: Final answer
    x = 604.70

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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.