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Finding the Fourth Proportional to 1,260.02, 1,738.42 and 735.68

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Solution

The fourth proportional to 1,260.02, 1,738.42 and 735.68 is: 1,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.02 : 1,738.42 = 735.68 : x
  2. Step 2: Convert to fraction form
    1,260.02/1,738.42 = 735.68/x
  3. Step 3: Cross multiply
    1,260.02x = 1,738.42 × 735.68
  4. Step 4: Simplify right side
    1,260.02x = 1,278,920.83
  5. Step 5: Solve for x
    x = 1,278,920.83/1,260.02
  6. Step 6: Final answer
    x = 1,015.00

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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.