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Finding the Fourth Proportional to 776.50, 1,165.12 and 386.49

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Solution

The fourth proportional to 776.50, 1,165.12 and 386.49 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,165.12 = 386.49 : x
  2. Step 2: Convert to fraction form
    776.50/1,165.12 = 386.49/x
  3. Step 3: Cross multiply
    776.50x = 1,165.12 × 386.49
  4. Step 4: Simplify right side
    776.50x = 450,304.08
  5. Step 5: Solve for x
    x = 450,304.08/776.50
  6. Step 6: Final answer
    x = 579.91

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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.