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Finding the Fourth Proportional to 826.61, 1,140.39 and 490.47

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Solution

The fourth proportional to 826.61, 1,140.39 and 490.47 is: 676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.39 = 490.47 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.39 = 490.47/x
  3. Step 3: Cross multiply
    826.61x = 1,140.39 × 490.47
  4. Step 4: Simplify right side
    826.61x = 559,327.08
  5. Step 5: Solve for x
    x = 559,327.08/826.61
  6. Step 6: Final answer
    x = 676.66

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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.