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Finding the Fourth Proportional to 920.36, 1,381.08 and 660.08

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Solution

The fourth proportional to 920.36, 1,381.08 and 660.08 is: 990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,381.08 = 660.08 : x
  2. Step 2: Convert to fraction form
    920.36/1,381.08 = 660.08/x
  3. Step 3: Cross multiply
    920.36x = 1,381.08 × 660.08
  4. Step 4: Simplify right side
    920.36x = 911,623.29
  5. Step 5: Solve for x
    x = 911,623.29/920.36
  6. Step 6: Final answer
    x = 990.51

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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.