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Finding the Fourth Proportional to 527.61, 791.47 and 412.80

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Solution

The fourth proportional to 527.61, 791.47 and 412.80 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 791.47 = 412.80 : x
  2. Step 2: Convert to fraction form
    527.61/791.47 = 412.80/x
  3. Step 3: Cross multiply
    527.61x = 791.47 × 412.80
  4. Step 4: Simplify right side
    527.61x = 326,716.36
  5. Step 5: Solve for x
    x = 326,716.36/527.61
  6. Step 6: Final answer
    x = 619.23

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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.