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Finding the Fourth Proportional to 1,651.06, 2,474.58 and 772.38

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Solution

The fourth proportional to 1,651.06, 2,474.58 and 772.38 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.06 : 2,474.58 = 772.38 : x
  2. Step 2: Convert to fraction form
    1,651.06/2,474.58 = 772.38/x
  3. Step 3: Cross multiply
    1,651.06x = 2,474.58 × 772.38
  4. Step 4: Simplify right side
    1,651.06x = 1,911,316.10
  5. Step 5: Solve for x
    x = 1,911,316.10/1,651.06
  6. Step 6: Final answer
    x = 1,157.63

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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.