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Finding the Fourth Proportional to 1,297.46, 1,946.46 and 431.75

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Solution

The fourth proportional to 1,297.46, 1,946.46 and 431.75 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.46 : 1,946.46 = 431.75 : x
  2. Step 2: Convert to fraction form
    1,297.46/1,946.46 = 431.75/x
  3. Step 3: Cross multiply
    1,297.46x = 1,946.46 × 431.75
  4. Step 4: Simplify right side
    1,297.46x = 840,384.11
  5. Step 5: Solve for x
    x = 840,384.11/1,297.46
  6. Step 6: Final answer
    x = 647.71

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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.