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Finding the Fourth Proportional to 519.70, 718.50 and 395.16

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Solution

The fourth proportional to 519.70, 718.50 and 395.16 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 718.50 = 395.16 : x
  2. Step 2: Convert to fraction form
    519.70/718.50 = 395.16/x
  3. Step 3: Cross multiply
    519.70x = 718.50 × 395.16
  4. Step 4: Simplify right side
    519.70x = 283,922.46
  5. Step 5: Solve for x
    x = 283,922.46/519.70
  6. Step 6: Final answer
    x = 546.32

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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.