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Finding the Fourth Proportional to 1,264.26, 1,744.56 and 740.19

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Solution

The fourth proportional to 1,264.26, 1,744.56 and 740.19 is: 1,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.26 : 1,744.56 = 740.19 : x
  2. Step 2: Convert to fraction form
    1,264.26/1,744.56 = 740.19/x
  3. Step 3: Cross multiply
    1,264.26x = 1,744.56 × 740.19
  4. Step 4: Simplify right side
    1,264.26x = 1,291,305.87
  5. Step 5: Solve for x
    x = 1,291,305.87/1,264.26
  6. Step 6: Final answer
    x = 1,021.39

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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.