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Finding the Fourth Proportional to 735.55, 1,104.11 and 443.77

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Solution

The fourth proportional to 735.55, 1,104.11 and 443.77 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.55 : 1,104.11 = 443.77 : x
  2. Step 2: Convert to fraction form
    735.55/1,104.11 = 443.77/x
  3. Step 3: Cross multiply
    735.55x = 1,104.11 × 443.77
  4. Step 4: Simplify right side
    735.55x = 489,970.89
  5. Step 5: Solve for x
    x = 489,970.89/735.55
  6. Step 6: Final answer
    x = 666.13

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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.