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Finding the Fourth Proportional to 971.06, 1,463.90 and 908.42

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Solution

The fourth proportional to 971.06, 1,463.90 and 908.42 is: 1,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.06 : 1,463.90 = 908.42 : x
  2. Step 2: Convert to fraction form
    971.06/1,463.90 = 908.42/x
  3. Step 3: Cross multiply
    971.06x = 1,463.90 × 908.42
  4. Step 4: Simplify right side
    971.06x = 1,329,830.99
  5. Step 5: Solve for x
    x = 1,329,830.99/971.06
  6. Step 6: Final answer
    x = 1,369.47

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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.