Home / 1,147.57-1,583.28-675.31

Finding the Fourth Proportional to 1,147.57, 1,583.28 and 675.31

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Solution

The fourth proportional to 1,147.57, 1,583.28 and 675.31 is: 931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,583.28 = 675.31 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,583.28 = 675.31/x
  3. Step 3: Cross multiply
    1,147.57x = 1,583.28 × 675.31
  4. Step 4: Simplify right side
    1,147.57x = 1,069,201.44
  5. Step 5: Solve for x
    x = 1,069,201.44/1,147.57
  6. Step 6: Final answer
    x = 931.71

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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.