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Finding the Fourth Proportional to 1,087.12, 1,633.12 and 654.60

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Solution

The fourth proportional to 1,087.12, 1,633.12 and 654.60 is: 983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.12 : 1,633.12 = 654.60 : x
  2. Step 2: Convert to fraction form
    1,087.12/1,633.12 = 654.60/x
  3. Step 3: Cross multiply
    1,087.12x = 1,633.12 × 654.60
  4. Step 4: Simplify right side
    1,087.12x = 1,069,040.35
  5. Step 5: Solve for x
    x = 1,069,040.35/1,087.12
  6. Step 6: Final answer
    x = 983.37

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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.