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Finding the Fourth Proportional to 1,699.19, 2,548.91 and 725.30

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Solution

The fourth proportional to 1,699.19, 2,548.91 and 725.30 is: 1,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.19 : 2,548.91 = 725.30 : x
  2. Step 2: Convert to fraction form
    1,699.19/2,548.91 = 725.30/x
  3. Step 3: Cross multiply
    1,699.19x = 2,548.91 × 725.30
  4. Step 4: Simplify right side
    1,699.19x = 1,848,724.42
  5. Step 5: Solve for x
    x = 1,848,724.42/1,699.19
  6. Step 6: Final answer
    x = 1,088.00

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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.