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Finding the Fourth Proportional to 1,292.20, 1,782.92 and 761.11

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Solution

The fourth proportional to 1,292.20, 1,782.92 and 761.11 is: 1,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.20 : 1,782.92 = 761.11 : x
  2. Step 2: Convert to fraction form
    1,292.20/1,782.92 = 761.11/x
  3. Step 3: Cross multiply
    1,292.20x = 1,782.92 × 761.11
  4. Step 4: Simplify right side
    1,292.20x = 1,356,998.24
  5. Step 5: Solve for x
    x = 1,356,998.24/1,292.20
  6. Step 6: Final answer
    x = 1,050.15

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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.