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Finding the Fourth Proportional to 1,615.81, 2,423.84 and 520.21

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Solution

The fourth proportional to 1,615.81, 2,423.84 and 520.21 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.81 : 2,423.84 = 520.21 : x
  2. Step 2: Convert to fraction form
    1,615.81/2,423.84 = 520.21/x
  3. Step 3: Cross multiply
    1,615.81x = 2,423.84 × 520.21
  4. Step 4: Simplify right side
    1,615.81x = 1,260,891.74
  5. Step 5: Solve for x
    x = 1,260,891.74/1,615.81
  6. Step 6: Final answer
    x = 780.35

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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.