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Finding the Fourth Proportional to 1,690.71, 2,332.34 and 982.44

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Solution

The fourth proportional to 1,690.71, 2,332.34 and 982.44 is: 1,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.71 : 2,332.34 = 982.44 : x
  2. Step 2: Convert to fraction form
    1,690.71/2,332.34 = 982.44/x
  3. Step 3: Cross multiply
    1,690.71x = 2,332.34 × 982.44
  4. Step 4: Simplify right side
    1,690.71x = 2,291,391.69
  5. Step 5: Solve for x
    x = 2,291,391.69/1,690.71
  6. Step 6: Final answer
    x = 1,355.28

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1.5x scale

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.