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Finding the Fourth Proportional to 826.39, 1,140.12 and 472.26

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Solution

The fourth proportional to 826.39, 1,140.12 and 472.26 is: 651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.39 : 1,140.12 = 472.26 : x
  2. Step 2: Convert to fraction form
    826.39/1,140.12 = 472.26/x
  3. Step 3: Cross multiply
    826.39x = 1,140.12 × 472.26
  4. Step 4: Simplify right side
    826.39x = 538,433.07
  5. Step 5: Solve for x
    x = 538,433.07/826.39
  6. Step 6: Final answer
    x = 651.55

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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.