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Finding the Fourth Proportional to 791.24, 1,187.69 and 646.65

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Solution

The fourth proportional to 791.24, 1,187.69 and 646.65 is: 970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.24 : 1,187.69 = 646.65 : x
  2. Step 2: Convert to fraction form
    791.24/1,187.69 = 646.65/x
  3. Step 3: Cross multiply
    791.24x = 1,187.69 × 646.65
  4. Step 4: Simplify right side
    791.24x = 768,018.32
  5. Step 5: Solve for x
    x = 768,018.32/791.24
  6. Step 6: Final answer
    x = 970.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.