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Finding the Fourth Proportional to 1,323.18, 1,985.16 and 775.56

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Solution

The fourth proportional to 1,323.18, 1,985.16 and 775.56 is: 1,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.18 : 1,985.16 = 775.56 : x
  2. Step 2: Convert to fraction form
    1,323.18/1,985.16 = 775.56/x
  3. Step 3: Cross multiply
    1,323.18x = 1,985.16 × 775.56
  4. Step 4: Simplify right side
    1,323.18x = 1,539,610.69
  5. Step 5: Solve for x
    x = 1,539,610.69/1,323.18
  6. Step 6: Final answer
    x = 1,163.57

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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.