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Finding the Fourth Proportional to 1,264.56, 1,745.10 and 740.70

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Solution

The fourth proportional to 1,264.56, 1,745.10 and 740.70 is: 1,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.56 : 1,745.10 = 740.70 : x
  2. Step 2: Convert to fraction form
    1,264.56/1,745.10 = 740.70/x
  3. Step 3: Cross multiply
    1,264.56x = 1,745.10 × 740.70
  4. Step 4: Simplify right side
    1,264.56x = 1,292,595.57
  5. Step 5: Solve for x
    x = 1,292,595.57/1,264.56
  6. Step 6: Final answer
    x = 1,022.17

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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.