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Finding the Fourth Proportional to 961.13, 1,325.76 and 666.29

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Solution

The fourth proportional to 961.13, 1,325.76 and 666.29 is: 919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.13 : 1,325.76 = 666.29 : x
  2. Step 2: Convert to fraction form
    961.13/1,325.76 = 666.29/x
  3. Step 3: Cross multiply
    961.13x = 1,325.76 × 666.29
  4. Step 4: Simplify right side
    961.13x = 883,340.63
  5. Step 5: Solve for x
    x = 883,340.63/961.13
  6. Step 6: Final answer
    x = 919.06

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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.