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Finding the Fourth Proportional to 954.47, 1,431.78 and 305.21

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Solution

The fourth proportional to 954.47, 1,431.78 and 305.21 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.47 : 1,431.78 = 305.21 : x
  2. Step 2: Convert to fraction form
    954.47/1,431.78 = 305.21/x
  3. Step 3: Cross multiply
    954.47x = 1,431.78 × 305.21
  4. Step 4: Simplify right side
    954.47x = 436,986.41
  5. Step 5: Solve for x
    x = 436,986.41/954.47
  6. Step 6: Final answer
    x = 457.83

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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.