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Finding the Fourth Proportional to 520.63, 718.17 and 343.57

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Solution

The fourth proportional to 520.63, 718.17 and 343.57 is: 473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.63 : 718.17 = 343.57 : x
  2. Step 2: Convert to fraction form
    520.63/718.17 = 343.57/x
  3. Step 3: Cross multiply
    520.63x = 718.17 × 343.57
  4. Step 4: Simplify right side
    520.63x = 246,741.67
  5. Step 5: Solve for x
    x = 246,741.67/520.63
  6. Step 6: Final answer
    x = 473.93

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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.