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Finding the Fourth Proportional to 630.52, 945.10 and 305.44

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Solution

The fourth proportional to 630.52, 945.10 and 305.44 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.52 : 945.10 = 305.44 : x
  2. Step 2: Convert to fraction form
    630.52/945.10 = 305.44/x
  3. Step 3: Cross multiply
    630.52x = 945.10 × 305.44
  4. Step 4: Simplify right side
    630.52x = 288,671.34
  5. Step 5: Solve for x
    x = 288,671.34/630.52
  6. Step 6: Final answer
    x = 457.83

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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.