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Finding the Fourth Proportional to 776.68, 1,163.16 and 451.06

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Solution

The fourth proportional to 776.68, 1,163.16 and 451.06 is: 675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.68 : 1,163.16 = 451.06 : x
  2. Step 2: Convert to fraction form
    776.68/1,163.16 = 451.06/x
  3. Step 3: Cross multiply
    776.68x = 1,163.16 × 451.06
  4. Step 4: Simplify right side
    776.68x = 524,654.95
  5. Step 5: Solve for x
    x = 524,654.95/776.68
  6. Step 6: Final answer
    x = 675.51

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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.