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Finding the Fourth Proportional to 776.32, 1,164.56 and 386.42

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Solution

The fourth proportional to 776.32, 1,164.56 and 386.42 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,164.56 = 386.42 : x
  2. Step 2: Convert to fraction form
    776.32/1,164.56 = 386.42/x
  3. Step 3: Cross multiply
    776.32x = 1,164.56 × 386.42
  4. Step 4: Simplify right side
    776.32x = 450,002.24
  5. Step 5: Solve for x
    x = 450,002.24/776.32
  6. Step 6: Final answer
    x = 579.66

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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.