Home / 1,162.10-1,743.40-340.31

Finding the Fourth Proportional to 1,162.10, 1,743.40 and 340.31

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Solution

The fourth proportional to 1,162.10, 1,743.40 and 340.31 is: 510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.10 : 1,743.40 = 340.31 : x
  2. Step 2: Convert to fraction form
    1,162.10/1,743.40 = 340.31/x
  3. Step 3: Cross multiply
    1,162.10x = 1,743.40 × 340.31
  4. Step 4: Simplify right side
    1,162.10x = 593,296.45
  5. Step 5: Solve for x
    x = 593,296.45/1,162.10
  6. Step 6: Final answer
    x = 510.54

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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.