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Finding the Fourth Proportional to 820.70, 1,232.10 and 511.58

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Solution

The fourth proportional to 820.70, 1,232.10 and 511.58 is: 768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.70 : 1,232.10 = 511.58 : x
  2. Step 2: Convert to fraction form
    820.70/1,232.10 = 511.58/x
  3. Step 3: Cross multiply
    820.70x = 1,232.10 × 511.58
  4. Step 4: Simplify right side
    820.70x = 630,317.72
  5. Step 5: Solve for x
    x = 630,317.72/820.70
  6. Step 6: Final answer
    x = 768.02

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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.