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Finding the Fourth Proportional to 631.48, 946.64 and 306.68

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Solution

The fourth proportional to 631.48, 946.64 and 306.68 is: 459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.48 : 946.64 = 306.68 : x
  2. Step 2: Convert to fraction form
    631.48/946.64 = 306.68/x
  3. Step 3: Cross multiply
    631.48x = 946.64 × 306.68
  4. Step 4: Simplify right side
    631.48x = 290,315.56
  5. Step 5: Solve for x
    x = 290,315.56/631.48
  6. Step 6: Final answer
    x = 459.74

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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.