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Finding the Fourth Proportional to 924.33, 1,268.39 and 840.80

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Solution

The fourth proportional to 924.33, 1,268.39 and 840.80 is: 1,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.33 : 1,268.39 = 840.80 : x
  2. Step 2: Convert to fraction form
    924.33/1,268.39 = 840.80/x
  3. Step 3: Cross multiply
    924.33x = 1,268.39 × 840.80
  4. Step 4: Simplify right side
    924.33x = 1,066,451.77
  5. Step 5: Solve for x
    x = 1,066,451.77/924.33
  6. Step 6: Final answer
    x = 1,153.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.