Home / 1,298.92-1,948.46-325.08

Finding the Fourth Proportional to 1,298.92, 1,948.46 and 325.08

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Solution

The fourth proportional to 1,298.92, 1,948.46 and 325.08 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.92 : 1,948.46 = 325.08 : x
  2. Step 2: Convert to fraction form
    1,298.92/1,948.46 = 325.08/x
  3. Step 3: Cross multiply
    1,298.92x = 1,948.46 × 325.08
  4. Step 4: Simplify right side
    1,298.92x = 633,405.38
  5. Step 5: Solve for x
    x = 633,405.38/1,298.92
  6. Step 6: Final answer
    x = 487.64

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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.