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Finding the Fourth Proportional to 945.63, 1,420.07 and 513.09

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Solution

The fourth proportional to 945.63, 1,420.07 and 513.09 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 1,420.07 = 513.09 : x
  2. Step 2: Convert to fraction form
    945.63/1,420.07 = 513.09/x
  3. Step 3: Cross multiply
    945.63x = 1,420.07 × 513.09
  4. Step 4: Simplify right side
    945.63x = 728,621.15
  5. Step 5: Solve for x
    x = 728,621.15/945.63
  6. Step 6: Final answer
    x = 770.51

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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.