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Finding the Fourth Proportional to 1,297.75, 1,946.94 and 432.06

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Solution

The fourth proportional to 1,297.75, 1,946.94 and 432.06 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.75 : 1,946.94 = 432.06 : x
  2. Step 2: Convert to fraction form
    1,297.75/1,946.94 = 432.06/x
  3. Step 3: Cross multiply
    1,297.75x = 1,946.94 × 432.06
  4. Step 4: Simplify right side
    1,297.75x = 841,194.90
  5. Step 5: Solve for x
    x = 841,194.90/1,297.75
  6. Step 6: Final answer
    x = 648.19

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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.