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Finding the Fourth Proportional to 826.13, 1,140.11 and 476.93

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Solution

The fourth proportional to 826.13, 1,140.11 and 476.93 is: 658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,140.11 = 476.93 : x
  2. Step 2: Convert to fraction form
    826.13/1,140.11 = 476.93/x
  3. Step 3: Cross multiply
    826.13x = 1,140.11 × 476.93
  4. Step 4: Simplify right side
    826.13x = 543,744.58
  5. Step 5: Solve for x
    x = 543,744.58/826.13
  6. Step 6: Final answer
    x = 658.19

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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.