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Finding the Fourth Proportional to 518.74, 715.67 and 385.63

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Solution

The fourth proportional to 518.74, 715.67 and 385.63 is: 532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.74 : 715.67 = 385.63 : x
  2. Step 2: Convert to fraction form
    518.74/715.67 = 385.63/x
  3. Step 3: Cross multiply
    518.74x = 715.67 × 385.63
  4. Step 4: Simplify right side
    518.74x = 275,981.55
  5. Step 5: Solve for x
    x = 275,981.55/518.74
  6. Step 6: Final answer
    x = 532.03

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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.