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Finding the Fourth Proportional to 1,285.48, 1,929.16 and 636.68

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Solution

The fourth proportional to 1,285.48, 1,929.16 and 636.68 is: 955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.48 : 1,929.16 = 636.68 : x
  2. Step 2: Convert to fraction form
    1,285.48/1,929.16 = 636.68/x
  3. Step 3: Cross multiply
    1,285.48x = 1,929.16 × 636.68
  4. Step 4: Simplify right side
    1,285.48x = 1,228,257.59
  5. Step 5: Solve for x
    x = 1,228,257.59/1,285.48
  6. Step 6: Final answer
    x = 955.49

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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.