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Finding the Fourth Proportional to 792.21, 1,183.56 and 776.01

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Solution

The fourth proportional to 792.21, 1,183.56 and 776.01 is: 1,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.21 : 1,183.56 = 776.01 : x
  2. Step 2: Convert to fraction form
    792.21/1,183.56 = 776.01/x
  3. Step 3: Cross multiply
    792.21x = 1,183.56 × 776.01
  4. Step 4: Simplify right side
    792.21x = 918,454.40
  5. Step 5: Solve for x
    x = 918,454.40/792.21
  6. Step 6: Final answer
    x = 1,159.36

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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.