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Finding the Fourth Proportional to 746.35, 1,117.30 and 728.67

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Solution

The fourth proportional to 746.35, 1,117.30 and 728.67 is: 1,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.35 : 1,117.30 = 728.67 : x
  2. Step 2: Convert to fraction form
    746.35/1,117.30 = 728.67/x
  3. Step 3: Cross multiply
    746.35x = 1,117.30 × 728.67
  4. Step 4: Simplify right side
    746.35x = 814,142.99
  5. Step 5: Solve for x
    x = 814,142.99/746.35
  6. Step 6: Final answer
    x = 1,090.83

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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.