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Finding the Fourth Proportional to 826.66, 1,140.39 and 495.02

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Solution

The fourth proportional to 826.66, 1,140.39 and 495.02 is: 682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.66 : 1,140.39 = 495.02 : x
  2. Step 2: Convert to fraction form
    826.66/1,140.39 = 495.02/x
  3. Step 3: Cross multiply
    826.66x = 1,140.39 × 495.02
  4. Step 4: Simplify right side
    826.66x = 564,513.01
  5. Step 5: Solve for x
    x = 564,513.01/826.66
  6. Step 6: Final answer
    x = 682.89

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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.