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Finding the Fourth Proportional to 838.44, 1,250.21 and 776.93

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Solution

The fourth proportional to 838.44, 1,250.21 and 776.93 is: 1,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.44 : 1,250.21 = 776.93 : x
  2. Step 2: Convert to fraction form
    838.44/1,250.21 = 776.93/x
  3. Step 3: Cross multiply
    838.44x = 1,250.21 × 776.93
  4. Step 4: Simplify right side
    838.44x = 971,325.66
  5. Step 5: Solve for x
    x = 971,325.66/838.44
  6. Step 6: Final answer
    x = 1,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.