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Finding the Fourth Proportional to 797.55, 1,101.51 and 758.67

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Solution

The fourth proportional to 797.55, 1,101.51 and 758.67 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.55 : 1,101.51 = 758.67 : x
  2. Step 2: Convert to fraction form
    797.55/1,101.51 = 758.67/x
  3. Step 3: Cross multiply
    797.55x = 1,101.51 × 758.67
  4. Step 4: Simplify right side
    797.55x = 835,682.59
  5. Step 5: Solve for x
    x = 835,682.59/797.55
  6. Step 6: Final answer
    x = 1,047.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.