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Finding the Fourth Proportional to 1,696.42, 2,341.07 and 988.30

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Solution

The fourth proportional to 1,696.42, 2,341.07 and 988.30 is: 1,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.42 : 2,341.07 = 988.30 : x
  2. Step 2: Convert to fraction form
    1,696.42/2,341.07 = 988.30/x
  3. Step 3: Cross multiply
    1,696.42x = 2,341.07 × 988.30
  4. Step 4: Simplify right side
    1,696.42x = 2,313,681.17
  5. Step 5: Solve for x
    x = 2,313,681.17/1,696.42
  6. Step 6: Final answer
    x = 1,363.86

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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.