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Finding the Fourth Proportional to 860.96, 1,188.42 and 511.62

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Solution

The fourth proportional to 860.96, 1,188.42 and 511.62 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.96 : 1,188.42 = 511.62 : x
  2. Step 2: Convert to fraction form
    860.96/1,188.42 = 511.62/x
  3. Step 3: Cross multiply
    860.96x = 1,188.42 × 511.62
  4. Step 4: Simplify right side
    860.96x = 608,019.44
  5. Step 5: Solve for x
    x = 608,019.44/860.96
  6. Step 6: Final answer
    x = 706.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.