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Finding the Fourth Proportional to 631.21, 946.78 and 305.59

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Solution

The fourth proportional to 631.21, 946.78 and 305.59 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.21 : 946.78 = 305.59 : x
  2. Step 2: Convert to fraction form
    631.21/946.78 = 305.59/x
  3. Step 3: Cross multiply
    631.21x = 946.78 × 305.59
  4. Step 4: Simplify right side
    631.21x = 289,326.50
  5. Step 5: Solve for x
    x = 289,326.50/631.21
  6. Step 6: Final answer
    x = 458.37

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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.