Home / 1,023.37-1,412.40-581.31

Finding the Fourth Proportional to 1,023.37, 1,412.40 and 581.31

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Solution

The fourth proportional to 1,023.37, 1,412.40 and 581.31 is: 802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.37 : 1,412.40 = 581.31 : x
  2. Step 2: Convert to fraction form
    1,023.37/1,412.40 = 581.31/x
  3. Step 3: Cross multiply
    1,023.37x = 1,412.40 × 581.31
  4. Step 4: Simplify right side
    1,023.37x = 821,042.24
  5. Step 5: Solve for x
    x = 821,042.24/1,023.37
  6. Step 6: Final answer
    x = 802.29

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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.