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Finding the Fourth Proportional to 795.96, 1,184.31 and 776.12

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Solution

The fourth proportional to 795.96, 1,184.31 and 776.12 is: 1,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.96 : 1,184.31 = 776.12 : x
  2. Step 2: Convert to fraction form
    795.96/1,184.31 = 776.12/x
  3. Step 3: Cross multiply
    795.96x = 1,184.31 × 776.12
  4. Step 4: Simplify right side
    795.96x = 919,166.68
  5. Step 5: Solve for x
    x = 919,166.68/795.96
  6. Step 6: Final answer
    x = 1,154.79

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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.