Home / 1,193.28-1,639.64-971.68

Finding the Fourth Proportional to 1,193.28, 1,639.64 and 971.68

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Solution

The fourth proportional to 1,193.28, 1,639.64 and 971.68 is: 1,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,639.64 = 971.68 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,639.64 = 971.68/x
  3. Step 3: Cross multiply
    1,193.28x = 1,639.64 × 971.68
  4. Step 4: Simplify right side
    1,193.28x = 1,593,205.40
  5. Step 5: Solve for x
    x = 1,593,205.40/1,193.28
  6. Step 6: Final answer
    x = 1,335.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.