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Finding the Fourth Proportional to 527.42, 785.07 and 519.62

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Solution

The fourth proportional to 527.42, 785.07 and 519.62 is: 773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 785.07 = 519.62 : x
  2. Step 2: Convert to fraction form
    527.42/785.07 = 519.62/x
  3. Step 3: Cross multiply
    527.42x = 785.07 × 519.62
  4. Step 4: Simplify right side
    527.42x = 407,938.07
  5. Step 5: Solve for x
    x = 407,938.07/527.42
  6. Step 6: Final answer
    x = 773.46

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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.