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Finding the Fourth Proportional to 826.20, 1,140.14 and 453.20

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Solution

The fourth proportional to 826.20, 1,140.14 and 453.20 is: 625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.20 : 1,140.14 = 453.20 : x
  2. Step 2: Convert to fraction form
    826.20/1,140.14 = 453.20/x
  3. Step 3: Cross multiply
    826.20x = 1,140.14 × 453.20
  4. Step 4: Simplify right side
    826.20x = 516,703.48
  5. Step 5: Solve for x
    x = 516,703.48/826.20
  6. Step 6: Final answer
    x = 625.40

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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.