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Finding the Fourth Proportional to 768.34, 1,061.73 and 730.41

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Solution

The fourth proportional to 768.34, 1,061.73 and 730.41 is: 1,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.34 : 1,061.73 = 730.41 : x
  2. Step 2: Convert to fraction form
    768.34/1,061.73 = 730.41/x
  3. Step 3: Cross multiply
    768.34x = 1,061.73 × 730.41
  4. Step 4: Simplify right side
    768.34x = 775,498.21
  5. Step 5: Solve for x
    x = 775,498.21/768.34
  6. Step 6: Final answer
    x = 1,009.32

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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.