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Finding the Fourth Proportional to 825.51, 1,139.54 and 563.79

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Solution

The fourth proportional to 825.51, 1,139.54 and 563.79 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.51 : 1,139.54 = 563.79 : x
  2. Step 2: Convert to fraction form
    825.51/1,139.54 = 563.79/x
  3. Step 3: Cross multiply
    825.51x = 1,139.54 × 563.79
  4. Step 4: Simplify right side
    825.51x = 642,461.26
  5. Step 5: Solve for x
    x = 642,461.26/825.51
  6. Step 6: Final answer
    x = 778.26

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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.