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Finding the Fourth Proportional to 956.31, 1,433.75 and 306.87

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Solution

The fourth proportional to 956.31, 1,433.75 and 306.87 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.31 : 1,433.75 = 306.87 : x
  2. Step 2: Convert to fraction form
    956.31/1,433.75 = 306.87/x
  3. Step 3: Cross multiply
    956.31x = 1,433.75 × 306.87
  4. Step 4: Simplify right side
    956.31x = 439,973.33
  5. Step 5: Solve for x
    x = 439,973.33/956.31
  6. Step 6: Final answer
    x = 460.07

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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.