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Finding the Fourth Proportional to 821.82, 1,230.96 and 436.26

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Solution

The fourth proportional to 821.82, 1,230.96 and 436.26 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,230.96 = 436.26 : x
  2. Step 2: Convert to fraction form
    821.82/1,230.96 = 436.26/x
  3. Step 3: Cross multiply
    821.82x = 1,230.96 × 436.26
  4. Step 4: Simplify right side
    821.82x = 537,018.61
  5. Step 5: Solve for x
    x = 537,018.61/821.82
  6. Step 6: Final answer
    x = 653.45

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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.