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Finding the Fourth Proportional to 955.27, 1,433.11 and 306.06

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Solution

The fourth proportional to 955.27, 1,433.11 and 306.06 is: 459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.27 : 1,433.11 = 306.06 : x
  2. Step 2: Convert to fraction form
    955.27/1,433.11 = 306.06/x
  3. Step 3: Cross multiply
    955.27x = 1,433.11 × 306.06
  4. Step 4: Simplify right side
    955.27x = 438,617.65
  5. Step 5: Solve for x
    x = 438,617.65/955.27
  6. Step 6: Final answer
    x = 459.16

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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.