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Finding the Fourth Proportional to 735.15, 1,102.98 and 489.34

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Solution

The fourth proportional to 735.15, 1,102.98 and 489.34 is: 734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,102.98 = 489.34 : x
  2. Step 2: Convert to fraction form
    735.15/1,102.98 = 489.34/x
  3. Step 3: Cross multiply
    735.15x = 1,102.98 × 489.34
  4. Step 4: Simplify right side
    735.15x = 539,732.23
  5. Step 5: Solve for x
    x = 539,732.23/735.15
  6. Step 6: Final answer
    x = 734.18

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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.