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Finding the Fourth Proportional to 767.06, 1,154.74 and 699.02

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Solution

The fourth proportional to 767.06, 1,154.74 and 699.02 is: 1,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,154.74 = 699.02 : x
  2. Step 2: Convert to fraction form
    767.06/1,154.74 = 699.02/x
  3. Step 3: Cross multiply
    767.06x = 1,154.74 × 699.02
  4. Step 4: Simplify right side
    767.06x = 807,186.35
  5. Step 5: Solve for x
    x = 807,186.35/767.06
  6. Step 6: Final answer
    x = 1,052.31

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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.