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Finding the Fourth Proportional to 1,290.29, 1,780.56 and 759.17

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Solution

The fourth proportional to 1,290.29, 1,780.56 and 759.17 is: 1,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.29 : 1,780.56 = 759.17 : x
  2. Step 2: Convert to fraction form
    1,290.29/1,780.56 = 759.17/x
  3. Step 3: Cross multiply
    1,290.29x = 1,780.56 × 759.17
  4. Step 4: Simplify right side
    1,290.29x = 1,351,752.19
  5. Step 5: Solve for x
    x = 1,351,752.19/1,290.29
  6. Step 6: Final answer
    x = 1,047.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.