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Finding the Fourth Proportional to 1,649.38, 2,474.10 and 771.40

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Solution

The fourth proportional to 1,649.38, 2,474.10 and 771.40 is: 1,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.38 : 2,474.10 = 771.40 : x
  2. Step 2: Convert to fraction form
    1,649.38/2,474.10 = 771.40/x
  3. Step 3: Cross multiply
    1,649.38x = 2,474.10 × 771.40
  4. Step 4: Simplify right side
    1,649.38x = 1,908,512.43
  5. Step 5: Solve for x
    x = 1,908,512.43/1,649.38
  6. Step 6: Final answer
    x = 1,157.11

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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.