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Finding the Fourth Proportional to 786.64, 1,171.35 and 777.94

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Solution

The fourth proportional to 786.64, 1,171.35 and 777.94 is: 1,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.64 : 1,171.35 = 777.94 : x
  2. Step 2: Convert to fraction form
    786.64/1,171.35 = 777.94/x
  3. Step 3: Cross multiply
    786.64x = 1,171.35 × 777.94
  4. Step 4: Simplify right side
    786.64x = 911,236.13
  5. Step 5: Solve for x
    x = 911,236.13/786.64
  6. Step 6: Final answer
    x = 1,158.39

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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.