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Finding the Fourth Proportional to 955.63, 1,433.49 and 306.31

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Solution

The fourth proportional to 955.63, 1,433.49 and 306.31 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.63 : 1,433.49 = 306.31 : x
  2. Step 2: Convert to fraction form
    955.63/1,433.49 = 306.31/x
  3. Step 3: Cross multiply
    955.63x = 1,433.49 × 306.31
  4. Step 4: Simplify right side
    955.63x = 439,092.32
  5. Step 5: Solve for x
    x = 439,092.32/955.63
  6. Step 6: Final answer
    x = 459.48

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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.