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Finding the Fourth Proportional to 1,264.40, 1,745.16 and 821.54

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Solution

The fourth proportional to 1,264.40, 1,745.16 and 821.54 is: 1,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.40 : 1,745.16 = 821.54 : x
  2. Step 2: Convert to fraction form
    1,264.40/1,745.16 = 821.54/x
  3. Step 3: Cross multiply
    1,264.40x = 1,745.16 × 821.54
  4. Step 4: Simplify right side
    1,264.40x = 1,433,718.75
  5. Step 5: Solve for x
    x = 1,433,718.75/1,264.40
  6. Step 6: Final answer
    x = 1,133.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.