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Finding the Fourth Proportional to 838.37, 1,157 and 465.39

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Solution

The fourth proportional to 838.37, 1,157 and 465.39 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,157 = 465.39 : x
  2. Step 2: Convert to fraction form
    838.37/1,157 = 465.39/x
  3. Step 3: Cross multiply
    838.37x = 1,157 × 465.39
  4. Step 4: Simplify right side
    838.37x = 538,456.23
  5. Step 5: Solve for x
    x = 538,456.23/838.37
  6. Step 6: Final answer
    x = 642.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.