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Finding the Fourth Proportional to 954.56, 1,431.84 and 270.56

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Solution

The fourth proportional to 954.56, 1,431.84 and 270.56 is: 405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.56 : 1,431.84 = 270.56 : x
  2. Step 2: Convert to fraction form
    954.56/1,431.84 = 270.56/x
  3. Step 3: Cross multiply
    954.56x = 1,431.84 × 270.56
  4. Step 4: Simplify right side
    954.56x = 387,398.63
  5. Step 5: Solve for x
    x = 387,398.63/954.56
  6. Step 6: Final answer
    x = 405.84

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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.