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Finding the Fourth Proportional to 1,290.29, 1,780.44 and 723.16

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Solution

The fourth proportional to 1,290.29, 1,780.44 and 723.16 is: 997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.29 : 1,780.44 = 723.16 : x
  2. Step 2: Convert to fraction form
    1,290.29/1,780.44 = 723.16/x
  3. Step 3: Cross multiply
    1,290.29x = 1,780.44 × 723.16
  4. Step 4: Simplify right side
    1,290.29x = 1,287,542.99
  5. Step 5: Solve for x
    x = 1,287,542.99/1,290.29
  6. Step 6: Final answer
    x = 997.87

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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.