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Finding the Fourth Proportional to 1,697.70, 2,544.62 and 657.17

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Solution

The fourth proportional to 1,697.70, 2,544.62 and 657.17 is: 985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,544.62 = 657.17 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,544.62 = 657.17/x
  3. Step 3: Cross multiply
    1,697.70x = 2,544.62 × 657.17
  4. Step 4: Simplify right side
    1,697.70x = 1,672,231.92
  5. Step 5: Solve for x
    x = 1,672,231.92/1,697.70
  6. Step 6: Final answer
    x = 985.00

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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.