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Finding the Fourth Proportional to 527.69, 788.46 and 388.27

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Solution

The fourth proportional to 527.69, 788.46 and 388.27 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 788.46 = 388.27 : x
  2. Step 2: Convert to fraction form
    527.69/788.46 = 388.27/x
  3. Step 3: Cross multiply
    527.69x = 788.46 × 388.27
  4. Step 4: Simplify right side
    527.69x = 306,133.77
  5. Step 5: Solve for x
    x = 306,133.77/527.69
  6. Step 6: Final answer
    x = 580.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.