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Finding the Fourth Proportional to 819.34, 1,223.34 and 797.47

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Solution

The fourth proportional to 819.34, 1,223.34 and 797.47 is: 1,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.34 : 1,223.34 = 797.47 : x
  2. Step 2: Convert to fraction form
    819.34/1,223.34 = 797.47/x
  3. Step 3: Cross multiply
    819.34x = 1,223.34 × 797.47
  4. Step 4: Simplify right side
    819.34x = 975,574.96
  5. Step 5: Solve for x
    x = 975,574.96/819.34
  6. Step 6: Final answer
    x = 1,190.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.