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Finding the Fourth Proportional to 735.45, 1,101.03 and 515.79

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Solution

The fourth proportional to 735.45, 1,101.03 and 515.79 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,101.03 = 515.79 : x
  2. Step 2: Convert to fraction form
    735.45/1,101.03 = 515.79/x
  3. Step 3: Cross multiply
    735.45x = 1,101.03 × 515.79
  4. Step 4: Simplify right side
    735.45x = 567,900.26
  5. Step 5: Solve for x
    x = 567,900.26/735.45
  6. Step 6: Final answer
    x = 772.18

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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.