Home / 1,298.07-1,947.11-324.14

Finding the Fourth Proportional to 1,298.07, 1,947.11 and 324.14

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Solution

The fourth proportional to 1,298.07, 1,947.11 and 324.14 is: 486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.07 : 1,947.11 = 324.14 : x
  2. Step 2: Convert to fraction form
    1,298.07/1,947.11 = 324.14/x
  3. Step 3: Cross multiply
    1,298.07x = 1,947.11 × 324.14
  4. Step 4: Simplify right side
    1,298.07x = 631,124.88
  5. Step 5: Solve for x
    x = 631,124.88/1,298.07
  6. Step 6: Final answer
    x = 486.20

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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.