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Finding the Fourth Proportional to 1,297.82, 1,946.92 and 432.32

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Solution

The fourth proportional to 1,297.82, 1,946.92 and 432.32 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.82 : 1,946.92 = 432.32 : x
  2. Step 2: Convert to fraction form
    1,297.82/1,946.92 = 432.32/x
  3. Step 3: Cross multiply
    1,297.82x = 1,946.92 × 432.32
  4. Step 4: Simplify right side
    1,297.82x = 841,692.45
  5. Step 5: Solve for x
    x = 841,692.45/1,297.82
  6. Step 6: Final answer
    x = 648.54

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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.