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Finding the Fourth Proportional to 1,609.18, 2,412.18 and 512.74

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Solution

The fourth proportional to 1,609.18, 2,412.18 and 512.74 is: 768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.18 : 2,412.18 = 512.74 : x
  2. Step 2: Convert to fraction form
    1,609.18/2,412.18 = 512.74/x
  3. Step 3: Cross multiply
    1,609.18x = 2,412.18 × 512.74
  4. Step 4: Simplify right side
    1,609.18x = 1,236,821.17
  5. Step 5: Solve for x
    x = 1,236,821.17/1,609.18
  6. Step 6: Final answer
    x = 768.60

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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.