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Finding the Fourth Proportional to 838.12, 1,156.62 and 465.10

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Solution

The fourth proportional to 838.12, 1,156.62 and 465.10 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.12 : 1,156.62 = 465.10 : x
  2. Step 2: Convert to fraction form
    838.12/1,156.62 = 465.10/x
  3. Step 3: Cross multiply
    838.12x = 1,156.62 × 465.10
  4. Step 4: Simplify right side
    838.12x = 537,943.96
  5. Step 5: Solve for x
    x = 537,943.96/838.12
  6. Step 6: Final answer
    x = 641.85

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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.