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Finding the Fourth Proportional to 1,297.38, 1,946.34 and 431.70

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Solution

The fourth proportional to 1,297.38, 1,946.34 and 431.70 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.38 : 1,946.34 = 431.70 : x
  2. Step 2: Convert to fraction form
    1,297.38/1,946.34 = 431.70/x
  3. Step 3: Cross multiply
    1,297.38x = 1,946.34 × 431.70
  4. Step 4: Simplify right side
    1,297.38x = 840,234.98
  5. Step 5: Solve for x
    x = 840,234.98/1,297.38
  6. Step 6: Final answer
    x = 647.64

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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.