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Finding the Fourth Proportional to 1,087.94, 1,630.19 and 648.11

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Solution

The fourth proportional to 1,087.94, 1,630.19 and 648.11 is: 971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.94 : 1,630.19 = 648.11 : x
  2. Step 2: Convert to fraction form
    1,087.94/1,630.19 = 648.11/x
  3. Step 3: Cross multiply
    1,087.94x = 1,630.19 × 648.11
  4. Step 4: Simplify right side
    1,087.94x = 1,056,548.14
  5. Step 5: Solve for x
    x = 1,056,548.14/1,087.94
  6. Step 6: Final answer
    x = 971.14

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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.