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Finding the Fourth Proportional to 1,645.25, 2,467.76 and 412.63

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Solution

The fourth proportional to 1,645.25, 2,467.76 and 412.63 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.25 : 2,467.76 = 412.63 : x
  2. Step 2: Convert to fraction form
    1,645.25/2,467.76 = 412.63/x
  3. Step 3: Cross multiply
    1,645.25x = 2,467.76 × 412.63
  4. Step 4: Simplify right side
    1,645.25x = 1,018,271.81
  5. Step 5: Solve for x
    x = 1,018,271.81/1,645.25
  6. Step 6: Final answer
    x = 618.92

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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.