Home / 1,023.31-1,412.21-581.20

Finding the Fourth Proportional to 1,023.31, 1,412.21 and 581.20

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Solution

The fourth proportional to 1,023.31, 1,412.21 and 581.20 is: 802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.31 : 1,412.21 = 581.20 : x
  2. Step 2: Convert to fraction form
    1,023.31/1,412.21 = 581.20/x
  3. Step 3: Cross multiply
    1,023.31x = 1,412.21 × 581.20
  4. Step 4: Simplify right side
    1,023.31x = 820,776.45
  5. Step 5: Solve for x
    x = 820,776.45/1,023.31
  6. Step 6: Final answer
    x = 802.08

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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.