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Finding the Fourth Proportional to 877.73, 1,317.30 and 775.22

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Solution

The fourth proportional to 877.73, 1,317.30 and 775.22 is: 1,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.73 : 1,317.30 = 775.22 : x
  2. Step 2: Convert to fraction form
    877.73/1,317.30 = 775.22/x
  3. Step 3: Cross multiply
    877.73x = 1,317.30 × 775.22
  4. Step 4: Simplify right side
    877.73x = 1,021,197.31
  5. Step 5: Solve for x
    x = 1,021,197.31/877.73
  6. Step 6: Final answer
    x = 1,163.45

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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.