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Finding the Fourth Proportional to 1,291.36, 1,936.32 and 641.92

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Solution

The fourth proportional to 1,291.36, 1,936.32 and 641.92 is: 962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.36 : 1,936.32 = 641.92 : x
  2. Step 2: Convert to fraction form
    1,291.36/1,936.32 = 641.92/x
  3. Step 3: Cross multiply
    1,291.36x = 1,936.32 × 641.92
  4. Step 4: Simplify right side
    1,291.36x = 1,242,962.53
  5. Step 5: Solve for x
    x = 1,242,962.53/1,291.36
  6. Step 6: Final answer
    x = 962.52

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1.5x scale

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.