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Finding the Fourth Proportional to 1,264.10, 1,669.26 and 1,264.10

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Solution

The fourth proportional to 1,264.10, 1,669.26 and 1,264.10 is: 1,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.10 : 1,669.26 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    1,264.10/1,669.26 = 1,264.10/x
  3. Step 3: Cross multiply
    1,264.10x = 1,669.26 × 1,264.10
  4. Step 4: Simplify right side
    1,264.10x = 2,110,111.57
  5. Step 5: Solve for x
    x = 2,110,111.57/1,264.10
  6. Step 6: Final answer
    x = 1,669.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.