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Finding the Fourth Proportional to 759.84, 1,145.19 and 717.45

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Solution

The fourth proportional to 759.84, 1,145.19 and 717.45 is: 1,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,145.19 = 717.45 : x
  2. Step 2: Convert to fraction form
    759.84/1,145.19 = 717.45/x
  3. Step 3: Cross multiply
    759.84x = 1,145.19 × 717.45
  4. Step 4: Simplify right side
    759.84x = 821,616.57
  5. Step 5: Solve for x
    x = 821,616.57/759.84
  6. Step 6: Final answer
    x = 1,081.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.