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Finding the Fourth Proportional to 908.78, 1,361.40 and 474.89

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Solution

The fourth proportional to 908.78, 1,361.40 and 474.89 is: 711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.78 : 1,361.40 = 474.89 : x
  2. Step 2: Convert to fraction form
    908.78/1,361.40 = 474.89/x
  3. Step 3: Cross multiply
    908.78x = 1,361.40 × 474.89
  4. Step 4: Simplify right side
    908.78x = 646,515.25
  5. Step 5: Solve for x
    x = 646,515.25/908.78
  6. Step 6: Final answer
    x = 711.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.