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Finding the Fourth Proportional to 924.85, 1,277.25 and 799.91

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Solution

The fourth proportional to 924.85, 1,277.25 and 799.91 is: 1,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.85 : 1,277.25 = 799.91 : x
  2. Step 2: Convert to fraction form
    924.85/1,277.25 = 799.91/x
  3. Step 3: Cross multiply
    924.85x = 1,277.25 × 799.91
  4. Step 4: Simplify right side
    924.85x = 1,021,678.66
  5. Step 5: Solve for x
    x = 1,021,678.66/924.85
  6. Step 6: Final answer
    x = 1,104.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.