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Finding the Fourth Proportional to 824.77, 1,235.33 and 336.34

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Solution

The fourth proportional to 824.77, 1,235.33 and 336.34 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,235.33 = 336.34 : x
  2. Step 2: Convert to fraction form
    824.77/1,235.33 = 336.34/x
  3. Step 3: Cross multiply
    824.77x = 1,235.33 × 336.34
  4. Step 4: Simplify right side
    824.77x = 415,490.89
  5. Step 5: Solve for x
    x = 415,490.89/824.77
  6. Step 6: Final answer
    x = 503.77

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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.