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Finding the Fourth Proportional to 520.39, 718.06 and 310.49

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Solution

The fourth proportional to 520.39, 718.06 and 310.49 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 718.06 = 310.49 : x
  2. Step 2: Convert to fraction form
    520.39/718.06 = 310.49/x
  3. Step 3: Cross multiply
    520.39x = 718.06 × 310.49
  4. Step 4: Simplify right side
    520.39x = 222,950.45
  5. Step 5: Solve for x
    x = 222,950.45/520.39
  6. Step 6: Final answer
    x = 428.43

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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.