Home / 1,274.04-1,909.26-754.16

Finding the Fourth Proportional to 1,274.04, 1,909.26 and 754.16

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Solution

The fourth proportional to 1,274.04, 1,909.26 and 754.16 is: 1,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.04 : 1,909.26 = 754.16 : x
  2. Step 2: Convert to fraction form
    1,274.04/1,909.26 = 754.16/x
  3. Step 3: Cross multiply
    1,274.04x = 1,909.26 × 754.16
  4. Step 4: Simplify right side
    1,274.04x = 1,439,877.98
  5. Step 5: Solve for x
    x = 1,439,877.98/1,274.04
  6. Step 6: Final answer
    x = 1,130.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.