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Finding the Fourth Proportional to 527.86, 792.90 and 322.54

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Solution

The fourth proportional to 527.86, 792.90 and 322.54 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 792.90 = 322.54 : x
  2. Step 2: Convert to fraction form
    527.86/792.90 = 322.54/x
  3. Step 3: Cross multiply
    527.86x = 792.90 × 322.54
  4. Step 4: Simplify right side
    527.86x = 255,741.97
  5. Step 5: Solve for x
    x = 255,741.97/527.86
  6. Step 6: Final answer
    x = 484.49

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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.