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Finding the Fourth Proportional to 1,609.68, 2,412.93 and 513.24

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Solution

The fourth proportional to 1,609.68, 2,412.93 and 513.24 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.68 : 2,412.93 = 513.24 : x
  2. Step 2: Convert to fraction form
    1,609.68/2,412.93 = 513.24/x
  3. Step 3: Cross multiply
    1,609.68x = 2,412.93 × 513.24
  4. Step 4: Simplify right side
    1,609.68x = 1,238,412.19
  5. Step 5: Solve for x
    x = 1,238,412.19/1,609.68
  6. Step 6: Final answer
    x = 769.35

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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.