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Finding the Fourth Proportional to 2,359.76, 3,539.63 and 820.76

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Solution

The fourth proportional to 2,359.76, 3,539.63 and 820.76 is: 1,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.76 : 3,539.63 = 820.76 : x
  2. Step 2: Convert to fraction form
    2,359.76/3,539.63 = 820.76/x
  3. Step 3: Cross multiply
    2,359.76x = 3,539.63 × 820.76
  4. Step 4: Simplify right side
    2,359.76x = 2,905,186.72
  5. Step 5: Solve for x
    x = 2,905,186.72/2,359.76
  6. Step 6: Final answer
    x = 1,231.14

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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.