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Finding the Fourth Proportional to 959.58, 1,431.41 and 806.49

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Solution

The fourth proportional to 959.58, 1,431.41 and 806.49 is: 1,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.58 : 1,431.41 = 806.49 : x
  2. Step 2: Convert to fraction form
    959.58/1,431.41 = 806.49/x
  3. Step 3: Cross multiply
    959.58x = 1,431.41 × 806.49
  4. Step 4: Simplify right side
    959.58x = 1,154,413.82
  5. Step 5: Solve for x
    x = 1,154,413.82/959.58
  6. Step 6: Final answer
    x = 1,203.04

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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.