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Finding the Fourth Proportional to 835.90, 1,254.07 and 489.53

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Solution

The fourth proportional to 835.90, 1,254.07 and 489.53 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.90 : 1,254.07 = 489.53 : x
  2. Step 2: Convert to fraction form
    835.90/1,254.07 = 489.53/x
  3. Step 3: Cross multiply
    835.90x = 1,254.07 × 489.53
  4. Step 4: Simplify right side
    835.90x = 613,904.89
  5. Step 5: Solve for x
    x = 613,904.89/835.90
  6. Step 6: Final answer
    x = 734.42

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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.