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Finding the Fourth Proportional to 637.62, 956.45 and 204.78

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Solution

The fourth proportional to 637.62, 956.45 and 204.78 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 956.45 = 204.78 : x
  2. Step 2: Convert to fraction form
    637.62/956.45 = 204.78/x
  3. Step 3: Cross multiply
    637.62x = 956.45 × 204.78
  4. Step 4: Simplify right side
    637.62x = 195,860.81
  5. Step 5: Solve for x
    x = 195,860.81/637.62
  6. Step 6: Final answer
    x = 307.17

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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.