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Finding the Fourth Proportional to 1,604.76, 2,209.80 and 1,568.40

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Solution

The fourth proportional to 1,604.76, 2,209.80 and 1,568.40 is: 2,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.76 : 2,209.80 = 1,568.40 : x
  2. Step 2: Convert to fraction form
    1,604.76/2,209.80 = 1,568.40/x
  3. Step 3: Cross multiply
    1,604.76x = 2,209.80 × 1,568.40
  4. Step 4: Simplify right side
    1,604.76x = 3,465,850.32
  5. Step 5: Solve for x
    x = 3,465,850.32/1,604.76
  6. Step 6: Final answer
    x = 2,159.73

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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.