Home / 1,056.14-1,583.99-325.54

Finding the Fourth Proportional to 1,056.14, 1,583.99 and 325.54

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Solution

The fourth proportional to 1,056.14, 1,583.99 and 325.54 is: 488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.14 : 1,583.99 = 325.54 : x
  2. Step 2: Convert to fraction form
    1,056.14/1,583.99 = 325.54/x
  3. Step 3: Cross multiply
    1,056.14x = 1,583.99 × 325.54
  4. Step 4: Simplify right side
    1,056.14x = 515,652.10
  5. Step 5: Solve for x
    x = 515,652.10/1,056.14
  6. Step 6: Final answer
    x = 488.24

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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.