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Finding the Fourth Proportional to 1,615.43, 2,423.55 and 519.77

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Solution

The fourth proportional to 1,615.43, 2,423.55 and 519.77 is: 779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.43 : 2,423.55 = 519.77 : x
  2. Step 2: Convert to fraction form
    1,615.43/2,423.55 = 519.77/x
  3. Step 3: Cross multiply
    1,615.43x = 2,423.55 × 519.77
  4. Step 4: Simplify right side
    1,615.43x = 1,259,688.58
  5. Step 5: Solve for x
    x = 1,259,688.58/1,615.43
  6. Step 6: Final answer
    x = 779.79

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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.