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Finding the Fourth Proportional to 1,700.40, 2,551.68 and 727.32

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Solution

The fourth proportional to 1,700.40, 2,551.68 and 727.32 is: 1,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.40 : 2,551.68 = 727.32 : x
  2. Step 2: Convert to fraction form
    1,700.40/2,551.68 = 727.32/x
  3. Step 3: Cross multiply
    1,700.40x = 2,551.68 × 727.32
  4. Step 4: Simplify right side
    1,700.40x = 1,855,887.90
  5. Step 5: Solve for x
    x = 1,855,887.90/1,700.40
  6. Step 6: Final answer
    x = 1,091.44

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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.