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Finding the Fourth Proportional to 1,868.23, 2,800.32 and 772.03

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Solution

The fourth proportional to 1,868.23, 2,800.32 and 772.03 is: 1,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.23 : 2,800.32 = 772.03 : x
  2. Step 2: Convert to fraction form
    1,868.23/2,800.32 = 772.03/x
  3. Step 3: Cross multiply
    1,868.23x = 2,800.32 × 772.03
  4. Step 4: Simplify right side
    1,868.23x = 2,161,931.05
  5. Step 5: Solve for x
    x = 2,161,931.05/1,868.23
  6. Step 6: Final answer
    x = 1,157.21

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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.