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Finding the Fourth Proportional to 1,714.05, 2,570.81 and 617.85

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Solution

The fourth proportional to 1,714.05, 2,570.81 and 617.85 is: 926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.05 : 2,570.81 = 617.85 : x
  2. Step 2: Convert to fraction form
    1,714.05/2,570.81 = 617.85/x
  3. Step 3: Cross multiply
    1,714.05x = 2,570.81 × 617.85
  4. Step 4: Simplify right side
    1,714.05x = 1,588,371.87
  5. Step 5: Solve for x
    x = 1,588,371.87/1,714.05
  6. Step 6: Final answer
    x = 926.68

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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.