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Finding the Fourth Proportional to 797.14, 1,188.91 and 783.29

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Solution

The fourth proportional to 797.14, 1,188.91 and 783.29 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.14 : 1,188.91 = 783.29 : x
  2. Step 2: Convert to fraction form
    797.14/1,188.91 = 783.29/x
  3. Step 3: Cross multiply
    797.14x = 1,188.91 × 783.29
  4. Step 4: Simplify right side
    797.14x = 931,261.31
  5. Step 5: Solve for x
    x = 931,261.31/797.14
  6. Step 6: Final answer
    x = 1,168.25

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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.