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Finding the Fourth Proportional to 1,777.40, 2,662.70 and 955.40

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Solution

The fourth proportional to 1,777.40, 2,662.70 and 955.40 is: 1,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.40 : 2,662.70 = 955.40 : x
  2. Step 2: Convert to fraction form
    1,777.40/2,662.70 = 955.40/x
  3. Step 3: Cross multiply
    1,777.40x = 2,662.70 × 955.40
  4. Step 4: Simplify right side
    1,777.40x = 2,543,943.58
  5. Step 5: Solve for x
    x = 2,543,943.58/1,777.40
  6. Step 6: Final answer
    x = 1,431.27

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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.