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Finding the Fourth Proportional to 822.83, 1,234.52 and 514.32

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Solution

The fourth proportional to 822.83, 1,234.52 and 514.32 is: 771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,234.52 = 514.32 : x
  2. Step 2: Convert to fraction form
    822.83/1,234.52 = 514.32/x
  3. Step 3: Cross multiply
    822.83x = 1,234.52 × 514.32
  4. Step 4: Simplify right side
    822.83x = 634,935.95
  5. Step 5: Solve for x
    x = 634,935.95/822.83
  6. Step 6: Final answer
    x = 771.65

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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.