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Finding the Fourth Proportional to 826.34, 1,140.08 and 563.90

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Solution

The fourth proportional to 826.34, 1,140.08 and 563.90 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.34 : 1,140.08 = 563.90 : x
  2. Step 2: Convert to fraction form
    826.34/1,140.08 = 563.90/x
  3. Step 3: Cross multiply
    826.34x = 1,140.08 × 563.90
  4. Step 4: Simplify right side
    826.34x = 642,882.59
  5. Step 5: Solve for x
    x = 642,882.59/826.34
  6. Step 6: Final answer
    x = 777.99

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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.