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Finding the Fourth Proportional to 1,613.86, 2,420.93 and 518.38

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Solution

The fourth proportional to 1,613.86, 2,420.93 and 518.38 is: 777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.86 : 2,420.93 = 518.38 : x
  2. Step 2: Convert to fraction form
    1,613.86/2,420.93 = 518.38/x
  3. Step 3: Cross multiply
    1,613.86x = 2,420.93 × 518.38
  4. Step 4: Simplify right side
    1,613.86x = 1,254,956.94
  5. Step 5: Solve for x
    x = 1,254,956.94/1,613.86
  6. Step 6: Final answer
    x = 777.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.