Home / 1,609.07-2,412.05-512.72

Finding the Fourth Proportional to 1,609.07, 2,412.05 and 512.72

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Solution

The fourth proportional to 1,609.07, 2,412.05 and 512.72 is: 768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.07 : 2,412.05 = 512.72 : x
  2. Step 2: Convert to fraction form
    1,609.07/2,412.05 = 512.72/x
  3. Step 3: Cross multiply
    1,609.07x = 2,412.05 × 512.72
  4. Step 4: Simplify right side
    1,609.07x = 1,236,691.65
  5. Step 5: Solve for x
    x = 1,236,691.65/1,609.07
  6. Step 6: Final answer
    x = 768.58

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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.