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Finding the Fourth Proportional to 835.42, 1,254.06 and 489.16

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Solution

The fourth proportional to 835.42, 1,254.06 and 489.16 is: 734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,254.06 = 489.16 : x
  2. Step 2: Convert to fraction form
    835.42/1,254.06 = 489.16/x
  3. Step 3: Cross multiply
    835.42x = 1,254.06 × 489.16
  4. Step 4: Simplify right side
    835.42x = 613,435.99
  5. Step 5: Solve for x
    x = 613,435.99/835.42
  6. Step 6: Final answer
    x = 734.28

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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.