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Finding the Fourth Proportional to 1,817.57, 2,725.74 and 647.52

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Solution

The fourth proportional to 1,817.57, 2,725.74 and 647.52 is: 971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.57 : 2,725.74 = 647.52 : x
  2. Step 2: Convert to fraction form
    1,817.57/2,725.74 = 647.52/x
  3. Step 3: Cross multiply
    1,817.57x = 2,725.74 × 647.52
  4. Step 4: Simplify right side
    1,817.57x = 1,764,971.16
  5. Step 5: Solve for x
    x = 1,764,971.16/1,817.57
  6. Step 6: Final answer
    x = 971.06

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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.