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Finding the Fourth Proportional to 527.70, 785.31 and 522.30

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Solution

The fourth proportional to 527.70, 785.31 and 522.30 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 785.31 = 522.30 : x
  2. Step 2: Convert to fraction form
    527.70/785.31 = 522.30/x
  3. Step 3: Cross multiply
    527.70x = 785.31 × 522.30
  4. Step 4: Simplify right side
    527.70x = 410,167.41
  5. Step 5: Solve for x
    x = 410,167.41/527.70
  6. Step 6: Final answer
    x = 777.27

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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.