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Finding the Fourth Proportional to 776.40, 1,164.78 and 256.44

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Solution

The fourth proportional to 776.40, 1,164.78 and 256.44 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,164.78 = 256.44 : x
  2. Step 2: Convert to fraction form
    776.40/1,164.78 = 256.44/x
  3. Step 3: Cross multiply
    776.40x = 1,164.78 × 256.44
  4. Step 4: Simplify right side
    776.40x = 298,696.18
  5. Step 5: Solve for x
    x = 298,696.18/776.40
  6. Step 6: Final answer
    x = 384.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.