Home / 1,316.16-1,974.06-342.34

Finding the Fourth Proportional to 1,316.16, 1,974.06 and 342.34

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Solution

The fourth proportional to 1,316.16, 1,974.06 and 342.34 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.16 : 1,974.06 = 342.34 : x
  2. Step 2: Convert to fraction form
    1,316.16/1,974.06 = 342.34/x
  3. Step 3: Cross multiply
    1,316.16x = 1,974.06 × 342.34
  4. Step 4: Simplify right side
    1,316.16x = 675,799.70
  5. Step 5: Solve for x
    x = 675,799.70/1,316.16
  6. Step 6: Final answer
    x = 513.46

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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.