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Finding the Fourth Proportional to 527.05, 792.15 and 436.33

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Solution

The fourth proportional to 527.05, 792.15 and 436.33 is: 655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 792.15 = 436.33 : x
  2. Step 2: Convert to fraction form
    527.05/792.15 = 436.33/x
  3. Step 3: Cross multiply
    527.05x = 792.15 × 436.33
  4. Step 4: Simplify right side
    527.05x = 345,638.81
  5. Step 5: Solve for x
    x = 345,638.81/527.05
  6. Step 6: Final answer
    x = 655.80

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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.