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Finding the Fourth Proportional to 826.23, 1,140.03 and 494.55

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Solution

The fourth proportional to 826.23, 1,140.03 and 494.55 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.23 : 1,140.03 = 494.55 : x
  2. Step 2: Convert to fraction form
    826.23/1,140.03 = 494.55/x
  3. Step 3: Cross multiply
    826.23x = 1,140.03 × 494.55
  4. Step 4: Simplify right side
    826.23x = 563,801.84
  5. Step 5: Solve for x
    x = 563,801.84/826.23
  6. Step 6: Final answer
    x = 682.38

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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.