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Finding the Fourth Proportional to 527.43, 792.18 and 322.41

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Solution

The fourth proportional to 527.43, 792.18 and 322.41 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 792.18 = 322.41 : x
  2. Step 2: Convert to fraction form
    527.43/792.18 = 322.41/x
  3. Step 3: Cross multiply
    527.43x = 792.18 × 322.41
  4. Step 4: Simplify right side
    527.43x = 255,406.75
  5. Step 5: Solve for x
    x = 255,406.75/527.43
  6. Step 6: Final answer
    x = 484.25

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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.