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Finding the Fourth Proportional to 538.56, 807.38 and 513.05

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Solution

The fourth proportional to 538.56, 807.38 and 513.05 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 807.38 = 513.05 : x
  2. Step 2: Convert to fraction form
    538.56/807.38 = 513.05/x
  3. Step 3: Cross multiply
    538.56x = 807.38 × 513.05
  4. Step 4: Simplify right side
    538.56x = 414,223.55
  5. Step 5: Solve for x
    x = 414,223.55/538.56
  6. Step 6: Final answer
    x = 769.13

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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.