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Finding the Fourth Proportional to 631.52, 947.19 and 306.80

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Solution

The fourth proportional to 631.52, 947.19 and 306.80 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.52 : 947.19 = 306.80 : x
  2. Step 2: Convert to fraction form
    631.52/947.19 = 306.80/x
  3. Step 3: Cross multiply
    631.52x = 947.19 × 306.80
  4. Step 4: Simplify right side
    631.52x = 290,597.89
  5. Step 5: Solve for x
    x = 290,597.89/631.52
  6. Step 6: Final answer
    x = 460.16

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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.