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Finding the Fourth Proportional to 1,697.58, 2,544.72 and 656.79

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Solution

The fourth proportional to 1,697.58, 2,544.72 and 656.79 is: 984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.58 : 2,544.72 = 656.79 : x
  2. Step 2: Convert to fraction form
    1,697.58/2,544.72 = 656.79/x
  3. Step 3: Cross multiply
    1,697.58x = 2,544.72 × 656.79
  4. Step 4: Simplify right side
    1,697.58x = 1,671,346.65
  5. Step 5: Solve for x
    x = 1,671,346.65/1,697.58
  6. Step 6: Final answer
    x = 984.55

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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.