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Finding the Fourth Proportional to 933.54, 1,287.54 and 828.70

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Solution

The fourth proportional to 933.54, 1,287.54 and 828.70 is: 1,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.54 : 1,287.54 = 828.70 : x
  2. Step 2: Convert to fraction form
    933.54/1,287.54 = 828.70/x
  3. Step 3: Cross multiply
    933.54x = 1,287.54 × 828.70
  4. Step 4: Simplify right side
    933.54x = 1,066,984.40
  5. Step 5: Solve for x
    x = 1,066,984.40/933.54
  6. Step 6: Final answer
    x = 1,142.94

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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.