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Finding the Fourth Proportional to 1,316.19, 1,974.19 and 342.26

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Solution

The fourth proportional to 1,316.19, 1,974.19 and 342.26 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.19 : 1,974.19 = 342.26 : x
  2. Step 2: Convert to fraction form
    1,316.19/1,974.19 = 342.26/x
  3. Step 3: Cross multiply
    1,316.19x = 1,974.19 × 342.26
  4. Step 4: Simplify right side
    1,316.19x = 675,686.27
  5. Step 5: Solve for x
    x = 675,686.27/1,316.19
  6. Step 6: Final answer
    x = 513.37

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1.5x scale

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.