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Finding the Fourth Proportional to 858.69, 1,281.30 and 806.46

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Solution

The fourth proportional to 858.69, 1,281.30 and 806.46 is: 1,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.69 : 1,281.30 = 806.46 : x
  2. Step 2: Convert to fraction form
    858.69/1,281.30 = 806.46/x
  3. Step 3: Cross multiply
    858.69x = 1,281.30 × 806.46
  4. Step 4: Simplify right side
    858.69x = 1,033,317.20
  5. Step 5: Solve for x
    x = 1,033,317.20/858.69
  6. Step 6: Final answer
    x = 1,203.36

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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.