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Finding the Fourth Proportional to 2,822.31, 4,233.47 and 770.31

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Solution

The fourth proportional to 2,822.31, 4,233.47 and 770.31 is: 1,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.31 : 4,233.47 = 770.31 : x
  2. Step 2: Convert to fraction form
    2,822.31/4,233.47 = 770.31/x
  3. Step 3: Cross multiply
    2,822.31x = 4,233.47 × 770.31
  4. Step 4: Simplify right side
    2,822.31x = 3,261,094.86
  5. Step 5: Solve for x
    x = 3,261,094.86/2,822.31
  6. Step 6: Final answer
    x = 1,155.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.