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Finding the Fourth Proportional to 657.02, 983.72 and 513.02

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Solution

The fourth proportional to 657.02, 983.72 and 513.02 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 983.72 = 513.02 : x
  2. Step 2: Convert to fraction form
    657.02/983.72 = 513.02/x
  3. Step 3: Cross multiply
    657.02x = 983.72 × 513.02
  4. Step 4: Simplify right side
    657.02x = 504,668.03
  5. Step 5: Solve for x
    x = 504,668.03/657.02
  6. Step 6: Final answer
    x = 768.12

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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.