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Finding the Fourth Proportional to 1,256.65, 1,885.25 and 412.39

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Solution

The fourth proportional to 1,256.65, 1,885.25 and 412.39 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.65 : 1,885.25 = 412.39 : x
  2. Step 2: Convert to fraction form
    1,256.65/1,885.25 = 412.39/x
  3. Step 3: Cross multiply
    1,256.65x = 1,885.25 × 412.39
  4. Step 4: Simplify right side
    1,256.65x = 777,458.25
  5. Step 5: Solve for x
    x = 777,458.25/1,256.65
  6. Step 6: Final answer
    x = 618.68

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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.