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Finding the Fourth Proportional to 631.14, 946.76 and 306.25

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Solution

The fourth proportional to 631.14, 946.76 and 306.25 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 946.76 = 306.25 : x
  2. Step 2: Convert to fraction form
    631.14/946.76 = 306.25/x
  3. Step 3: Cross multiply
    631.14x = 946.76 × 306.25
  4. Step 4: Simplify right side
    631.14x = 289,945.25
  5. Step 5: Solve for x
    x = 289,945.25/631.14
  6. Step 6: Final answer
    x = 459.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.