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Finding the Fourth Proportional to 838.43, 1,156.96 and 465.40

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Solution

The fourth proportional to 838.43, 1,156.96 and 465.40 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.43 : 1,156.96 = 465.40 : x
  2. Step 2: Convert to fraction form
    838.43/1,156.96 = 465.40/x
  3. Step 3: Cross multiply
    838.43x = 1,156.96 × 465.40
  4. Step 4: Simplify right side
    838.43x = 538,446.86
  5. Step 5: Solve for x
    x = 538,446.86/838.43
  6. Step 6: Final answer
    x = 642.21

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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.