Home / 1,022.63-1,411.25-580.51

Finding the Fourth Proportional to 1,022.63, 1,411.25 and 580.51

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Solution

The fourth proportional to 1,022.63, 1,411.25 and 580.51 is: 801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.63 : 1,411.25 = 580.51 : x
  2. Step 2: Convert to fraction form
    1,022.63/1,411.25 = 580.51/x
  3. Step 3: Cross multiply
    1,022.63x = 1,411.25 × 580.51
  4. Step 4: Simplify right side
    1,022.63x = 819,244.74
  5. Step 5: Solve for x
    x = 819,244.74/1,022.63
  6. Step 6: Final answer
    x = 801.12

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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.