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Finding the Fourth Proportional to 1,297.68, 1,946.52 and 648.96

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Solution

The fourth proportional to 1,297.68, 1,946.52 and 648.96 is: 973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.68 : 1,946.52 = 648.96 : x
  2. Step 2: Convert to fraction form
    1,297.68/1,946.52 = 648.96/x
  3. Step 3: Cross multiply
    1,297.68x = 1,946.52 × 648.96
  4. Step 4: Simplify right side
    1,297.68x = 1,263,213.62
  5. Step 5: Solve for x
    x = 1,263,213.62/1,297.68
  6. Step 6: Final answer
    x = 973.44

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Double scale
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Similar ratio
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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.