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Finding the Fourth Proportional to 961.20, 1,325.88 and 666

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Solution

The fourth proportional to 961.20, 1,325.88 and 666 is: 918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,325.88 = 666 : x
  2. Step 2: Convert to fraction form
    961.20/1,325.88 = 666/x
  3. Step 3: Cross multiply
    961.20x = 1,325.88 × 666
  4. Step 4: Simplify right side
    961.20x = 883,036.08
  5. Step 5: Solve for x
    x = 883,036.08/961.20
  6. Step 6: Final answer
    x = 918.68

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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.