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Finding the Fourth Proportional to 776.13, 1,158.62 and 665.25

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Solution

The fourth proportional to 776.13, 1,158.62 and 665.25 is: 993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.13 : 1,158.62 = 665.25 : x
  2. Step 2: Convert to fraction form
    776.13/1,158.62 = 665.25/x
  3. Step 3: Cross multiply
    776.13x = 1,158.62 × 665.25
  4. Step 4: Simplify right side
    776.13x = 770,768.63
  5. Step 5: Solve for x
    x = 770,768.63/776.13
  6. Step 6: Final answer
    x = 993.09

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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.