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Finding the Fourth Proportional to 825.02, 1,139.09 and 635.66

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Solution

The fourth proportional to 825.02, 1,139.09 and 635.66 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.02 : 1,139.09 = 635.66 : x
  2. Step 2: Convert to fraction form
    825.02/1,139.09 = 635.66/x
  3. Step 3: Cross multiply
    825.02x = 1,139.09 × 635.66
  4. Step 4: Simplify right side
    825.02x = 724,073.95
  5. Step 5: Solve for x
    x = 724,073.95/825.02
  6. Step 6: Final answer
    x = 877.64

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1.5x scale

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.