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Finding the Fourth Proportional to 1,087.70, 1,501.84 and 668.62

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Solution

The fourth proportional to 1,087.70, 1,501.84 and 668.62 is: 923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.70 : 1,501.84 = 668.62 : x
  2. Step 2: Convert to fraction form
    1,087.70/1,501.84 = 668.62/x
  3. Step 3: Cross multiply
    1,087.70x = 1,501.84 × 668.62
  4. Step 4: Simplify right side
    1,087.70x = 1,004,162.97
  5. Step 5: Solve for x
    x = 1,004,162.97/1,087.70
  6. Step 6: Final answer
    x = 923.20

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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.