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Finding the Fourth Proportional to 1,615.54, 2,423.33 and 519.91

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Solution

The fourth proportional to 1,615.54, 2,423.33 and 519.91 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.54 : 2,423.33 = 519.91 : x
  2. Step 2: Convert to fraction form
    1,615.54/2,423.33 = 519.91/x
  3. Step 3: Cross multiply
    1,615.54x = 2,423.33 × 519.91
  4. Step 4: Simplify right side
    1,615.54x = 1,259,908.74
  5. Step 5: Solve for x
    x = 1,259,908.74/1,615.54
  6. Step 6: Final answer
    x = 779.87

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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.