Home / 1,690.38-2,332.71-982.35

Finding the Fourth Proportional to 1,690.38, 2,332.71 and 982.35

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Solution

The fourth proportional to 1,690.38, 2,332.71 and 982.35 is: 1,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.38 : 2,332.71 = 982.35 : x
  2. Step 2: Convert to fraction form
    1,690.38/2,332.71 = 982.35/x
  3. Step 3: Cross multiply
    1,690.38x = 2,332.71 × 982.35
  4. Step 4: Simplify right side
    1,690.38x = 2,291,537.67
  5. Step 5: Solve for x
    x = 2,291,537.67/1,690.38
  6. Step 6: Final answer
    x = 1,355.63

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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.