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Finding the Fourth Proportional to 1,420.78, 2,129.32 and 761.95

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Solution

The fourth proportional to 1,420.78, 2,129.32 and 761.95 is: 1,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.78 : 2,129.32 = 761.95 : x
  2. Step 2: Convert to fraction form
    1,420.78/2,129.32 = 761.95/x
  3. Step 3: Cross multiply
    1,420.78x = 2,129.32 × 761.95
  4. Step 4: Simplify right side
    1,420.78x = 1,622,435.37
  5. Step 5: Solve for x
    x = 1,622,435.37/1,420.78
  6. Step 6: Final answer
    x = 1,141.93

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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.