Home / 1,147.93-1,584.14-650.66

Finding the Fourth Proportional to 1,147.93, 1,584.14 and 650.66

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Solution

The fourth proportional to 1,147.93, 1,584.14 and 650.66 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.93 : 1,584.14 = 650.66 : x
  2. Step 2: Convert to fraction form
    1,147.93/1,584.14 = 650.66/x
  3. Step 3: Cross multiply
    1,147.93x = 1,584.14 × 650.66
  4. Step 4: Simplify right side
    1,147.93x = 1,030,736.53
  5. Step 5: Solve for x
    x = 1,030,736.53/1,147.93
  6. Step 6: Final answer
    x = 897.91

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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.