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Finding the Fourth Proportional to 1,697.47, 2,341.78 and 989.26

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Solution

The fourth proportional to 1,697.47, 2,341.78 and 989.26 is: 1,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.47 : 2,341.78 = 989.26 : x
  2. Step 2: Convert to fraction form
    1,697.47/2,341.78 = 989.26/x
  3. Step 3: Cross multiply
    1,697.47x = 2,341.78 × 989.26
  4. Step 4: Simplify right side
    1,697.47x = 2,316,629.28
  5. Step 5: Solve for x
    x = 2,316,629.28/1,697.47
  6. Step 6: Final answer
    x = 1,364.75

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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.