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Finding the Fourth Proportional to 961.34, 1,323.54 and 666.09

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Solution

The fourth proportional to 961.34, 1,323.54 and 666.09 is: 917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.34 : 1,323.54 = 666.09 : x
  2. Step 2: Convert to fraction form
    961.34/1,323.54 = 666.09/x
  3. Step 3: Cross multiply
    961.34x = 1,323.54 × 666.09
  4. Step 4: Simplify right side
    961.34x = 881,596.76
  5. Step 5: Solve for x
    x = 881,596.76/961.34
  6. Step 6: Final answer
    x = 917.05

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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.