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Finding the Fourth Proportional to 631.86, 947.64 and 302.60

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Solution

The fourth proportional to 631.86, 947.64 and 302.60 is: 453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 947.64 = 302.60 : x
  2. Step 2: Convert to fraction form
    631.86/947.64 = 302.60/x
  3. Step 3: Cross multiply
    631.86x = 947.64 × 302.60
  4. Step 4: Simplify right side
    631.86x = 286,755.86
  5. Step 5: Solve for x
    x = 286,755.86/631.86
  6. Step 6: Final answer
    x = 453.83

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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.