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Finding the Fourth Proportional to 1,292.49, 1,939.13 and 427.41

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Solution

The fourth proportional to 1,292.49, 1,939.13 and 427.41 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.49 : 1,939.13 = 427.41 : x
  2. Step 2: Convert to fraction form
    1,292.49/1,939.13 = 427.41/x
  3. Step 3: Cross multiply
    1,292.49x = 1,939.13 × 427.41
  4. Step 4: Simplify right side
    1,292.49x = 828,803.55
  5. Step 5: Solve for x
    x = 828,803.55/1,292.49
  6. Step 6: Final answer
    x = 641.25

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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.