Home / 1,019.14-1,528.84-325.92

Finding the Fourth Proportional to 1,019.14, 1,528.84 and 325.92

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Solution

The fourth proportional to 1,019.14, 1,528.84 and 325.92 is: 488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.14 : 1,528.84 = 325.92 : x
  2. Step 2: Convert to fraction form
    1,019.14/1,528.84 = 325.92/x
  3. Step 3: Cross multiply
    1,019.14x = 1,528.84 × 325.92
  4. Step 4: Simplify right side
    1,019.14x = 498,279.53
  5. Step 5: Solve for x
    x = 498,279.53/1,019.14
  6. Step 6: Final answer
    x = 488.92

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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.