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Finding the Fourth Proportional to 1,649.54, 2,472.82 and 771.70

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Solution

The fourth proportional to 1,649.54, 2,472.82 and 771.70 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.54 : 2,472.82 = 771.70 : x
  2. Step 2: Convert to fraction form
    1,649.54/2,472.82 = 771.70/x
  3. Step 3: Cross multiply
    1,649.54x = 2,472.82 × 771.70
  4. Step 4: Simplify right side
    1,649.54x = 1,908,275.19
  5. Step 5: Solve for x
    x = 1,908,275.19/1,649.54
  6. Step 6: Final answer
    x = 1,156.85

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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.