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Finding the Fourth Proportional to 520.78, 780.72 and 212.50

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Solution

The fourth proportional to 520.78, 780.72 and 212.50 is: 318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 780.72 = 212.50 : x
  2. Step 2: Convert to fraction form
    520.78/780.72 = 212.50/x
  3. Step 3: Cross multiply
    520.78x = 780.72 × 212.50
  4. Step 4: Simplify right side
    520.78x = 165,903
  5. Step 5: Solve for x
    x = 165,903/520.78
  6. Step 6: Final answer
    x = 318.57

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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.