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Finding the Fourth Proportional to 761.84, 1,143.57 and 745.31

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Solution

The fourth proportional to 761.84, 1,143.57 and 745.31 is: 1,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,143.57 = 745.31 : x
  2. Step 2: Convert to fraction form
    761.84/1,143.57 = 745.31/x
  3. Step 3: Cross multiply
    761.84x = 1,143.57 × 745.31
  4. Step 4: Simplify right side
    761.84x = 852,308.44
  5. Step 5: Solve for x
    x = 852,308.44/761.84
  6. Step 6: Final answer
    x = 1,118.76

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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.