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Finding the Fourth Proportional to 820.05, 1,130.70 and 761.73

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Solution

The fourth proportional to 820.05, 1,130.70 and 761.73 is: 1,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.05 : 1,130.70 = 761.73 : x
  2. Step 2: Convert to fraction form
    820.05/1,130.70 = 761.73/x
  3. Step 3: Cross multiply
    820.05x = 1,130.70 × 761.73
  4. Step 4: Simplify right side
    820.05x = 861,288.11
  5. Step 5: Solve for x
    x = 861,288.11/820.05
  6. Step 6: Final answer
    x = 1,050.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.