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Finding the Fourth Proportional to 1,700.42, 2,549.78 and 997.80

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Solution

The fourth proportional to 1,700.42, 2,549.78 and 997.80 is: 1,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.42 : 2,549.78 = 997.80 : x
  2. Step 2: Convert to fraction form
    1,700.42/2,549.78 = 997.80/x
  3. Step 3: Cross multiply
    1,700.42x = 2,549.78 × 997.80
  4. Step 4: Simplify right side
    1,700.42x = 2,544,172.98
  5. Step 5: Solve for x
    x = 2,544,172.98/1,700.42
  6. Step 6: Final answer
    x = 1,496.21

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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.