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Finding the Fourth Proportional to 1,699.30, 2,550.74 and 1,505.50

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Solution

The fourth proportional to 1,699.30, 2,550.74 and 1,505.50 is: 2,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.30 : 2,550.74 = 1,505.50 : x
  2. Step 2: Convert to fraction form
    1,699.30/2,550.74 = 1,505.50/x
  3. Step 3: Cross multiply
    1,699.30x = 2,550.74 × 1,505.50
  4. Step 4: Simplify right side
    1,699.30x = 3,840,139.07
  5. Step 5: Solve for x
    x = 3,840,139.07/1,699.30
  6. Step 6: Final answer
    x = 2,259.84

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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.