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Finding the Fourth Proportional to 933.59, 1,287.65 and 892.23

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Solution

The fourth proportional to 933.59, 1,287.65 and 892.23 is: 1,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.59 : 1,287.65 = 892.23 : x
  2. Step 2: Convert to fraction form
    933.59/1,287.65 = 892.23/x
  3. Step 3: Cross multiply
    933.59x = 1,287.65 × 892.23
  4. Step 4: Simplify right side
    933.59x = 1,148,879.96
  5. Step 5: Solve for x
    x = 1,148,879.96/933.59
  6. Step 6: Final answer
    x = 1,230.60

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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.