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Finding the Fourth Proportional to 851.13, 1,175.72 and 666.95

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Solution

The fourth proportional to 851.13, 1,175.72 and 666.95 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.13 : 1,175.72 = 666.95 : x
  2. Step 2: Convert to fraction form
    851.13/1,175.72 = 666.95/x
  3. Step 3: Cross multiply
    851.13x = 1,175.72 × 666.95
  4. Step 4: Simplify right side
    851.13x = 784,137.24
  5. Step 5: Solve for x
    x = 784,137.24/851.13
  6. Step 6: Final answer
    x = 921.29

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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.