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Finding the Fourth Proportional to 1,676.91, 2,516.99 and 753.51

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Solution

The fourth proportional to 1,676.91, 2,516.99 and 753.51 is: 1,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.91 : 2,516.99 = 753.51 : x
  2. Step 2: Convert to fraction form
    1,676.91/2,516.99 = 753.51/x
  3. Step 3: Cross multiply
    1,676.91x = 2,516.99 × 753.51
  4. Step 4: Simplify right side
    1,676.91x = 1,896,577.13
  5. Step 5: Solve for x
    x = 1,896,577.13/1,676.91
  6. Step 6: Final answer
    x = 1,131.00

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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.