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Finding the Fourth Proportional to 976.54, 1,461.96 and 513.22

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Solution

The fourth proportional to 976.54, 1,461.96 and 513.22 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,461.96 = 513.22 : x
  2. Step 2: Convert to fraction form
    976.54/1,461.96 = 513.22/x
  3. Step 3: Cross multiply
    976.54x = 1,461.96 × 513.22
  4. Step 4: Simplify right side
    976.54x = 750,307.11
  5. Step 5: Solve for x
    x = 750,307.11/976.54
  6. Step 6: Final answer
    x = 768.33

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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.