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Finding the Fourth Proportional to 894.40, 1,234.41 and 521.50

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Solution

The fourth proportional to 894.40, 1,234.41 and 521.50 is: 719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,234.41 = 521.50 : x
  2. Step 2: Convert to fraction form
    894.40/1,234.41 = 521.50/x
  3. Step 3: Cross multiply
    894.40x = 1,234.41 × 521.50
  4. Step 4: Simplify right side
    894.40x = 643,744.82
  5. Step 5: Solve for x
    x = 643,744.82/894.40
  6. Step 6: Final answer
    x = 719.75

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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.