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Finding the Fourth Proportional to 767.93, 1,156.05 and 699.89

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Solution

The fourth proportional to 767.93, 1,156.05 and 699.89 is: 1,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.93 : 1,156.05 = 699.89 : x
  2. Step 2: Convert to fraction form
    767.93/1,156.05 = 699.89/x
  3. Step 3: Cross multiply
    767.93x = 1,156.05 × 699.89
  4. Step 4: Simplify right side
    767.93x = 809,102.05
  5. Step 5: Solve for x
    x = 809,102.05/767.93
  6. Step 6: Final answer
    x = 1,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.