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Finding the Fourth Proportional to 1,147.65, 1,583.67 and 650.37

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Solution

The fourth proportional to 1,147.65, 1,583.67 and 650.37 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.65 : 1,583.67 = 650.37 : x
  2. Step 2: Convert to fraction form
    1,147.65/1,583.67 = 650.37/x
  3. Step 3: Cross multiply
    1,147.65x = 1,583.67 × 650.37
  4. Step 4: Simplify right side
    1,147.65x = 1,029,969.75
  5. Step 5: Solve for x
    x = 1,029,969.75/1,147.65
  6. Step 6: Final answer
    x = 897.46

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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.