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Finding the Fourth Proportional to 783.25, 1,080.34 and 757.51

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Solution

The fourth proportional to 783.25, 1,080.34 and 757.51 is: 1,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,080.34 = 757.51 : x
  2. Step 2: Convert to fraction form
    783.25/1,080.34 = 757.51/x
  3. Step 3: Cross multiply
    783.25x = 1,080.34 × 757.51
  4. Step 4: Simplify right side
    783.25x = 818,368.35
  5. Step 5: Solve for x
    x = 818,368.35/783.25
  6. Step 6: Final answer
    x = 1,044.84

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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.