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Finding the Fourth Proportional to 971.77, 1,464.91 and 908.29

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Solution

The fourth proportional to 971.77, 1,464.91 and 908.29 is: 1,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.77 : 1,464.91 = 908.29 : x
  2. Step 2: Convert to fraction form
    971.77/1,464.91 = 908.29/x
  3. Step 3: Cross multiply
    971.77x = 1,464.91 × 908.29
  4. Step 4: Simplify right side
    971.77x = 1,330,561.10
  5. Step 5: Solve for x
    x = 1,330,561.10/971.77
  6. Step 6: Final answer
    x = 1,369.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.