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Finding the Fourth Proportional to 826.37, 1,140.77 and 476.99

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Solution

The fourth proportional to 826.37, 1,140.77 and 476.99 is: 658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,140.77 = 476.99 : x
  2. Step 2: Convert to fraction form
    826.37/1,140.77 = 476.99/x
  3. Step 3: Cross multiply
    826.37x = 1,140.77 × 476.99
  4. Step 4: Simplify right side
    826.37x = 544,135.88
  5. Step 5: Solve for x
    x = 544,135.88/826.37
  6. Step 6: Final answer
    x = 658.47

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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.