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Finding the Fourth Proportional to 894.35, 1,234.54 and 521.45

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Solution

The fourth proportional to 894.35, 1,234.54 and 521.45 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.35 : 1,234.54 = 521.45 : x
  2. Step 2: Convert to fraction form
    894.35/1,234.54 = 521.45/x
  3. Step 3: Cross multiply
    894.35x = 1,234.54 × 521.45
  4. Step 4: Simplify right side
    894.35x = 643,742.10
  5. Step 5: Solve for x
    x = 643,742.10/894.35
  6. Step 6: Final answer
    x = 719.79

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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.