Home / 1,091.59-1,628.95-974.78

Finding the Fourth Proportional to 1,091.59, 1,628.95 and 974.78

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Solution

The fourth proportional to 1,091.59, 1,628.95 and 974.78 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.59 : 1,628.95 = 974.78 : x
  2. Step 2: Convert to fraction form
    1,091.59/1,628.95 = 974.78/x
  3. Step 3: Cross multiply
    1,091.59x = 1,628.95 × 974.78
  4. Step 4: Simplify right side
    1,091.59x = 1,587,867.88
  5. Step 5: Solve for x
    x = 1,587,867.88/1,091.59
  6. Step 6: Final answer
    x = 1,454.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.