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Finding the Fourth Proportional to 826.63, 1,140.79 and 495.00

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Solution

The fourth proportional to 826.63, 1,140.79 and 495.00 is: 683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.63 : 1,140.79 = 495.00 : x
  2. Step 2: Convert to fraction form
    826.63/1,140.79 = 495.00/x
  3. Step 3: Cross multiply
    826.63x = 1,140.79 × 495.00
  4. Step 4: Simplify right side
    826.63x = 564,685.93
  5. Step 5: Solve for x
    x = 564,685.93/826.63
  6. Step 6: Final answer
    x = 683.12

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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.