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Finding the Fourth Proportional to 500.64, 690.48 and 326.04

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Solution

The fourth proportional to 500.64, 690.48 and 326.04 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 690.48 = 326.04 : x
  2. Step 2: Convert to fraction form
    500.64/690.48 = 326.04/x
  3. Step 3: Cross multiply
    500.64x = 690.48 × 326.04
  4. Step 4: Simplify right side
    500.64x = 225,124.10
  5. Step 5: Solve for x
    x = 225,124.10/500.64
  6. Step 6: Final answer
    x = 449.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.