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Finding the Fourth Proportional to 826.61, 1,140.72 and 448.50

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Solution

The fourth proportional to 826.61, 1,140.72 and 448.50 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.72 = 448.50 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.72 = 448.50/x
  3. Step 3: Cross multiply
    826.61x = 1,140.72 × 448.50
  4. Step 4: Simplify right side
    826.61x = 511,609.41
  5. Step 5: Solve for x
    x = 511,609.41/826.61
  6. Step 6: Final answer
    x = 618.92

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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.