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Finding the Fourth Proportional to 838.58, 1,256.84 and 375.89

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Solution

The fourth proportional to 838.58, 1,256.84 and 375.89 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,256.84 = 375.89 : x
  2. Step 2: Convert to fraction form
    838.58/1,256.84 = 375.89/x
  3. Step 3: Cross multiply
    838.58x = 1,256.84 × 375.89
  4. Step 4: Simplify right side
    838.58x = 472,434.96
  5. Step 5: Solve for x
    x = 472,434.96/838.58
  6. Step 6: Final answer
    x = 563.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.