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Finding the Fourth Proportional to 520.24, 718.08 and 310.56

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Solution

The fourth proportional to 520.24, 718.08 and 310.56 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 718.08 = 310.56 : x
  2. Step 2: Convert to fraction form
    520.24/718.08 = 310.56/x
  3. Step 3: Cross multiply
    520.24x = 718.08 × 310.56
  4. Step 4: Simplify right side
    520.24x = 223,007.70
  5. Step 5: Solve for x
    x = 223,007.70/520.24
  6. Step 6: Final answer
    x = 428.67

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Why These Related Problems?

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