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Finding the Fourth Proportional to 1,636.57, 2,454.86 and 712.09

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Solution

The fourth proportional to 1,636.57, 2,454.86 and 712.09 is: 1,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.57 : 2,454.86 = 712.09 : x
  2. Step 2: Convert to fraction form
    1,636.57/2,454.86 = 712.09/x
  3. Step 3: Cross multiply
    1,636.57x = 2,454.86 × 712.09
  4. Step 4: Simplify right side
    1,636.57x = 1,748,081.26
  5. Step 5: Solve for x
    x = 1,748,081.26/1,636.57
  6. Step 6: Final answer
    x = 1,068.14

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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.