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Finding the Fourth Proportional to 524.28, 784.47 and 325.92

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Solution

The fourth proportional to 524.28, 784.47 and 325.92 is: 487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 784.47 = 325.92 : x
  2. Step 2: Convert to fraction form
    524.28/784.47 = 325.92/x
  3. Step 3: Cross multiply
    524.28x = 784.47 × 325.92
  4. Step 4: Simplify right side
    524.28x = 255,674.46
  5. Step 5: Solve for x
    x = 255,674.46/524.28
  6. Step 6: Final answer
    x = 487.67

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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.