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Finding the Fourth Proportional to 1,297.92, 1,946.56 and 431.68

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Solution

The fourth proportional to 1,297.92, 1,946.56 and 431.68 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.92 : 1,946.56 = 431.68 : x
  2. Step 2: Convert to fraction form
    1,297.92/1,946.56 = 431.68/x
  3. Step 3: Cross multiply
    1,297.92x = 1,946.56 × 431.68
  4. Step 4: Simplify right side
    1,297.92x = 840,291.02
  5. Step 5: Solve for x
    x = 840,291.02/1,297.92
  6. Step 6: Final answer
    x = 647.41

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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.