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Finding the Fourth Proportional to 1,259.75, 1,738.40 and 735.75

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Solution

The fourth proportional to 1,259.75, 1,738.40 and 735.75 is: 1,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.75 : 1,738.40 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,259.75/1,738.40 = 735.75/x
  3. Step 3: Cross multiply
    1,259.75x = 1,738.40 × 735.75
  4. Step 4: Simplify right side
    1,259.75x = 1,279,024.12
  5. Step 5: Solve for x
    x = 1,279,024.12/1,259.75
  6. Step 6: Final answer
    x = 1,015.30

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1.5x scale

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.