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Finding the Fourth Proportional to 791.01, 1,185.93 and 420.51

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Solution

The fourth proportional to 791.01, 1,185.93 and 420.51 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.01 : 1,185.93 = 420.51 : x
  2. Step 2: Convert to fraction form
    791.01/1,185.93 = 420.51/x
  3. Step 3: Cross multiply
    791.01x = 1,185.93 × 420.51
  4. Step 4: Simplify right side
    791.01x = 498,695.42
  5. Step 5: Solve for x
    x = 498,695.42/791.01
  6. Step 6: Final answer
    x = 630.45

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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.