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Finding the Fourth Proportional to 838.15, 1,256.37 and 317.83

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Solution

The fourth proportional to 838.15, 1,256.37 and 317.83 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.15 : 1,256.37 = 317.83 : x
  2. Step 2: Convert to fraction form
    838.15/1,256.37 = 317.83/x
  3. Step 3: Cross multiply
    838.15x = 1,256.37 × 317.83
  4. Step 4: Simplify right side
    838.15x = 399,312.08
  5. Step 5: Solve for x
    x = 399,312.08/838.15
  6. Step 6: Final answer
    x = 476.42

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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.