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Finding the Fourth Proportional to 1,096.21, 1,513.24 and 647.94

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Solution

The fourth proportional to 1,096.21, 1,513.24 and 647.94 is: 894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.21 : 1,513.24 = 647.94 : x
  2. Step 2: Convert to fraction form
    1,096.21/1,513.24 = 647.94/x
  3. Step 3: Cross multiply
    1,096.21x = 1,513.24 × 647.94
  4. Step 4: Simplify right side
    1,096.21x = 980,487.11
  5. Step 5: Solve for x
    x = 980,487.11/1,096.21
  6. Step 6: Final answer
    x = 894.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.