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Finding the Fourth Proportional to 822.32, 1,233.68 and 335.51

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Solution

The fourth proportional to 822.32, 1,233.68 and 335.51 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,233.68 = 335.51 : x
  2. Step 2: Convert to fraction form
    822.32/1,233.68 = 335.51/x
  3. Step 3: Cross multiply
    822.32x = 1,233.68 × 335.51
  4. Step 4: Simplify right side
    822.32x = 413,911.98
  5. Step 5: Solve for x
    x = 413,911.98/822.32
  6. Step 6: Final answer
    x = 503.35

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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.