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Finding the Fourth Proportional to 767.59, 1,143.75 and 730.39

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Solution

The fourth proportional to 767.59, 1,143.75 and 730.39 is: 1,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.59 : 1,143.75 = 730.39 : x
  2. Step 2: Convert to fraction form
    767.59/1,143.75 = 730.39/x
  3. Step 3: Cross multiply
    767.59x = 1,143.75 × 730.39
  4. Step 4: Simplify right side
    767.59x = 835,383.56
  5. Step 5: Solve for x
    x = 835,383.56/767.59
  6. Step 6: Final answer
    x = 1,088.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.