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Finding the Fourth Proportional to 776.36, 1,164.40 and 386.23

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Solution

The fourth proportional to 776.36, 1,164.40 and 386.23 is: 579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,164.40 = 386.23 : x
  2. Step 2: Convert to fraction form
    776.36/1,164.40 = 386.23/x
  3. Step 3: Cross multiply
    776.36x = 1,164.40 × 386.23
  4. Step 4: Simplify right side
    776.36x = 449,726.21
  5. Step 5: Solve for x
    x = 449,726.21/776.36
  6. Step 6: Final answer
    x = 579.28

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1.5x scale

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.