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Finding the Fourth Proportional to 1,705.74, 2,546.91 and 1,528.90

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Solution

The fourth proportional to 1,705.74, 2,546.91 and 1,528.90 is: 2,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.74 : 2,546.91 = 1,528.90 : x
  2. Step 2: Convert to fraction form
    1,705.74/2,546.91 = 1,528.90/x
  3. Step 3: Cross multiply
    1,705.74x = 2,546.91 × 1,528.90
  4. Step 4: Simplify right side
    1,705.74x = 3,893,970.70
  5. Step 5: Solve for x
    x = 3,893,970.70/1,705.74
  6. Step 6: Final answer
    x = 2,282.86

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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.