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Finding the Fourth Proportional to 527.23, 789.90 and 322.03

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Solution

The fourth proportional to 527.23, 789.90 and 322.03 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.23 : 789.90 = 322.03 : x
  2. Step 2: Convert to fraction form
    527.23/789.90 = 322.03/x
  3. Step 3: Cross multiply
    527.23x = 789.90 × 322.03
  4. Step 4: Simplify right side
    527.23x = 254,371.50
  5. Step 5: Solve for x
    x = 254,371.50/527.23
  6. Step 6: Final answer
    x = 482.47

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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.