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Finding the Fourth Proportional to 1,870.97, 2,806.76 and 638.25

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Solution

The fourth proportional to 1,870.97, 2,806.76 and 638.25 is: 957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.97 : 2,806.76 = 638.25 : x
  2. Step 2: Convert to fraction form
    1,870.97/2,806.76 = 638.25/x
  3. Step 3: Cross multiply
    1,870.97x = 2,806.76 × 638.25
  4. Step 4: Simplify right side
    1,870.97x = 1,791,414.57
  5. Step 5: Solve for x
    x = 1,791,414.57/1,870.97
  6. Step 6: Final answer
    x = 957.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.