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Finding the Fourth Proportional to 1,264.50, 1,745.06 and 740.57

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Solution

The fourth proportional to 1,264.50, 1,745.06 and 740.57 is: 1,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.50 : 1,745.06 = 740.57 : x
  2. Step 2: Convert to fraction form
    1,264.50/1,745.06 = 740.57/x
  3. Step 3: Cross multiply
    1,264.50x = 1,745.06 × 740.57
  4. Step 4: Simplify right side
    1,264.50x = 1,292,326.66
  5. Step 5: Solve for x
    x = 1,292,326.66/1,264.50
  6. Step 6: Final answer
    x = 1,022.01

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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.