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Finding the Fourth Proportional to 1,330.98, 1,996.47 and 637.35

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Solution

The fourth proportional to 1,330.98, 1,996.47 and 637.35 is: 956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.98 : 1,996.47 = 637.35 : x
  2. Step 2: Convert to fraction form
    1,330.98/1,996.47 = 637.35/x
  3. Step 3: Cross multiply
    1,330.98x = 1,996.47 × 637.35
  4. Step 4: Simplify right side
    1,330.98x = 1,272,450.15
  5. Step 5: Solve for x
    x = 1,272,450.15/1,330.98
  6. Step 6: Final answer
    x = 956.03

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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.