Home / 1,159.10-1,596.14-982.31

Finding the Fourth Proportional to 1,159.10, 1,596.14 and 982.31

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Solution

The fourth proportional to 1,159.10, 1,596.14 and 982.31 is: 1,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.10 : 1,596.14 = 982.31 : x
  2. Step 2: Convert to fraction form
    1,159.10/1,596.14 = 982.31/x
  3. Step 3: Cross multiply
    1,159.10x = 1,596.14 × 982.31
  4. Step 4: Simplify right side
    1,159.10x = 1,567,903.36
  5. Step 5: Solve for x
    x = 1,567,903.36/1,159.10
  6. Step 6: Final answer
    x = 1,352.70

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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.