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Finding the Fourth Proportional to 908.51, 1,354.24 and 850.07

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Solution

The fourth proportional to 908.51, 1,354.24 and 850.07 is: 1,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.51 : 1,354.24 = 850.07 : x
  2. Step 2: Convert to fraction form
    908.51/1,354.24 = 850.07/x
  3. Step 3: Cross multiply
    908.51x = 1,354.24 × 850.07
  4. Step 4: Simplify right side
    908.51x = 1,151,203.24
  5. Step 5: Solve for x
    x = 1,151,203.24/908.51
  6. Step 6: Final answer
    x = 1,267.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.