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Finding the Fourth Proportional to 826.56, 1,140.23 and 490.31

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Solution

The fourth proportional to 826.56, 1,140.23 and 490.31 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,140.23 = 490.31 : x
  2. Step 2: Convert to fraction form
    826.56/1,140.23 = 490.31/x
  3. Step 3: Cross multiply
    826.56x = 1,140.23 × 490.31
  4. Step 4: Simplify right side
    826.56x = 559,058.02
  5. Step 5: Solve for x
    x = 559,058.02/826.56
  6. Step 6: Final answer
    x = 676.37

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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.