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Finding the Fourth Proportional to 527.74, 785.36 and 522.27

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Solution

The fourth proportional to 527.74, 785.36 and 522.27 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.74 : 785.36 = 522.27 : x
  2. Step 2: Convert to fraction form
    527.74/785.36 = 522.27/x
  3. Step 3: Cross multiply
    527.74x = 785.36 × 522.27
  4. Step 4: Simplify right side
    527.74x = 410,171.27
  5. Step 5: Solve for x
    x = 410,171.27/527.74
  6. Step 6: Final answer
    x = 777.23

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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.