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Finding the Fourth Proportional to 933.49, 1,399.08 and 817.66

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Solution

The fourth proportional to 933.49, 1,399.08 and 817.66 is: 1,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.49 : 1,399.08 = 817.66 : x
  2. Step 2: Convert to fraction form
    933.49/1,399.08 = 817.66/x
  3. Step 3: Cross multiply
    933.49x = 1,399.08 × 817.66
  4. Step 4: Simplify right side
    933.49x = 1,143,971.75
  5. Step 5: Solve for x
    x = 1,143,971.75/933.49
  6. Step 6: Final answer
    x = 1,225.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.