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Finding the Fourth Proportional to 1,087.01, 1,500.65 and 850.46

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Solution

The fourth proportional to 1,087.01, 1,500.65 and 850.46 is: 1,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.01 : 1,500.65 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,087.01/1,500.65 = 850.46/x
  3. Step 3: Cross multiply
    1,087.01x = 1,500.65 × 850.46
  4. Step 4: Simplify right side
    1,087.01x = 1,276,234.23
  5. Step 5: Solve for x
    x = 1,276,234.23/1,087.01
  6. Step 6: Final answer
    x = 1,174.08

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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.