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Finding the Fourth Proportional to 1,697.76, 2,342.70 and 989.40

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Solution

The fourth proportional to 1,697.76, 2,342.70 and 989.40 is: 1,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.76 : 2,342.70 = 989.40 : x
  2. Step 2: Convert to fraction form
    1,697.76/2,342.70 = 989.40/x
  3. Step 3: Cross multiply
    1,697.76x = 2,342.70 × 989.40
  4. Step 4: Simplify right side
    1,697.76x = 2,317,867.38
  5. Step 5: Solve for x
    x = 2,317,867.38/1,697.76
  6. Step 6: Final answer
    x = 1,365.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.