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Finding the Fourth Proportional to 846.18, 1,259.66 and 806.34

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Solution

The fourth proportional to 846.18, 1,259.66 and 806.34 is: 1,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.18 : 1,259.66 = 806.34 : x
  2. Step 2: Convert to fraction form
    846.18/1,259.66 = 806.34/x
  3. Step 3: Cross multiply
    846.18x = 1,259.66 × 806.34
  4. Step 4: Simplify right side
    846.18x = 1,015,710.21
  5. Step 5: Solve for x
    x = 1,015,710.21/846.18
  6. Step 6: Final answer
    x = 1,200.35

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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.