Home / 1,022.54-1,411.08-580.46

Finding the Fourth Proportional to 1,022.54, 1,411.08 and 580.46

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Solution

The fourth proportional to 1,022.54, 1,411.08 and 580.46 is: 801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.54 : 1,411.08 = 580.46 : x
  2. Step 2: Convert to fraction form
    1,022.54/1,411.08 = 580.46/x
  3. Step 3: Cross multiply
    1,022.54x = 1,411.08 × 580.46
  4. Step 4: Simplify right side
    1,022.54x = 819,072.59
  5. Step 5: Solve for x
    x = 819,072.59/1,022.54
  6. Step 6: Final answer
    x = 801.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.