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Finding the Fourth Proportional to 1,610.65, 2,416.56 and 637.42

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Solution

The fourth proportional to 1,610.65, 2,416.56 and 637.42 is: 956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.65 : 2,416.56 = 637.42 : x
  2. Step 2: Convert to fraction form
    1,610.65/2,416.56 = 637.42/x
  3. Step 3: Cross multiply
    1,610.65x = 2,416.56 × 637.42
  4. Step 4: Simplify right side
    1,610.65x = 1,540,363.68
  5. Step 5: Solve for x
    x = 1,540,363.68/1,610.65
  6. Step 6: Final answer
    x = 956.36

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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.