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Finding the Fourth Proportional to 826.51, 1,245.99 and 773.66

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Solution

The fourth proportional to 826.51, 1,245.99 and 773.66 is: 1,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.51 : 1,245.99 = 773.66 : x
  2. Step 2: Convert to fraction form
    826.51/1,245.99 = 773.66/x
  3. Step 3: Cross multiply
    826.51x = 1,245.99 × 773.66
  4. Step 4: Simplify right side
    826.51x = 963,966.39
  5. Step 5: Solve for x
    x = 963,966.39/826.51
  6. Step 6: Final answer
    x = 1,166.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.