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Finding the Fourth Proportional to 1,297.88, 1,946.40 and 648.44

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Solution

The fourth proportional to 1,297.88, 1,946.40 and 648.44 is: 972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.88 : 1,946.40 = 648.44 : x
  2. Step 2: Convert to fraction form
    1,297.88/1,946.40 = 648.44/x
  3. Step 3: Cross multiply
    1,297.88x = 1,946.40 × 648.44
  4. Step 4: Simplify right side
    1,297.88x = 1,262,123.62
  5. Step 5: Solve for x
    x = 1,262,123.62/1,297.88
  6. Step 6: Final answer
    x = 972.45

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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.