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Finding the Fourth Proportional to 1,093.64, 1,637.82 and 630.28

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Solution

The fourth proportional to 1,093.64, 1,637.82 and 630.28 is: 943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.64 : 1,637.82 = 630.28 : x
  2. Step 2: Convert to fraction form
    1,093.64/1,637.82 = 630.28/x
  3. Step 3: Cross multiply
    1,093.64x = 1,637.82 × 630.28
  4. Step 4: Simplify right side
    1,093.64x = 1,032,285.19
  5. Step 5: Solve for x
    x = 1,032,285.19/1,093.64
  6. Step 6: Final answer
    x = 943.90

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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.