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Finding the Fourth Proportional to 826.91, 1,140.30 and 640.07

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Solution

The fourth proportional to 826.91, 1,140.30 and 640.07 is: 882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.91 : 1,140.30 = 640.07 : x
  2. Step 2: Convert to fraction form
    826.91/1,140.30 = 640.07/x
  3. Step 3: Cross multiply
    826.91x = 1,140.30 × 640.07
  4. Step 4: Simplify right side
    826.91x = 729,866.12
  5. Step 5: Solve for x
    x = 729,866.12/826.91
  6. Step 6: Final answer
    x = 882.65

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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.