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Finding the Fourth Proportional to 1,688.64, 2,329.94 and 980.07

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Solution

The fourth proportional to 1,688.64, 2,329.94 and 980.07 is: 1,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.64 : 2,329.94 = 980.07 : x
  2. Step 2: Convert to fraction form
    1,688.64/2,329.94 = 980.07/x
  3. Step 3: Cross multiply
    1,688.64x = 2,329.94 × 980.07
  4. Step 4: Simplify right side
    1,688.64x = 2,283,504.30
  5. Step 5: Solve for x
    x = 2,283,504.30/1,688.64
  6. Step 6: Final answer
    x = 1,352.27

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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.