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Finding the Fourth Proportional to 826.67, 1,140.80 and 448.56

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Solution

The fourth proportional to 826.67, 1,140.80 and 448.56 is: 619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.67 : 1,140.80 = 448.56 : x
  2. Step 2: Convert to fraction form
    826.67/1,140.80 = 448.56/x
  3. Step 3: Cross multiply
    826.67x = 1,140.80 × 448.56
  4. Step 4: Simplify right side
    826.67x = 511,715.01
  5. Step 5: Solve for x
    x = 511,715.01/826.67
  6. Step 6: Final answer
    x = 619.01

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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.