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Finding the Fourth Proportional to 1,691.63, 2,536.25 and 650.76

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Solution

The fourth proportional to 1,691.63, 2,536.25 and 650.76 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.63 : 2,536.25 = 650.76 : x
  2. Step 2: Convert to fraction form
    1,691.63/2,536.25 = 650.76/x
  3. Step 3: Cross multiply
    1,691.63x = 2,536.25 × 650.76
  4. Step 4: Simplify right side
    1,691.63x = 1,650,490.05
  5. Step 5: Solve for x
    x = 1,650,490.05/1,691.63
  6. Step 6: Final answer
    x = 975.68

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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.