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Finding the Fourth Proportional to 1,656.34, 2,485.60 and 682.44

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Solution

The fourth proportional to 1,656.34, 2,485.60 and 682.44 is: 1,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.34 : 2,485.60 = 682.44 : x
  2. Step 2: Convert to fraction form
    1,656.34/2,485.60 = 682.44/x
  3. Step 3: Cross multiply
    1,656.34x = 2,485.60 × 682.44
  4. Step 4: Simplify right side
    1,656.34x = 1,696,272.86
  5. Step 5: Solve for x
    x = 1,696,272.86/1,656.34
  6. Step 6: Final answer
    x = 1,024.11

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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.