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Finding the Fourth Proportional to 1,809.62, 2,714.91 and 713.72

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Solution

The fourth proportional to 1,809.62, 2,714.91 and 713.72 is: 1,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.62 : 2,714.91 = 713.72 : x
  2. Step 2: Convert to fraction form
    1,809.62/2,714.91 = 713.72/x
  3. Step 3: Cross multiply
    1,809.62x = 2,714.91 × 713.72
  4. Step 4: Simplify right side
    1,809.62x = 1,937,685.57
  5. Step 5: Solve for x
    x = 1,937,685.57/1,809.62
  6. Step 6: Final answer
    x = 1,070.77

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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.