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Finding the Fourth Proportional to 894.94, 1,234.87 and 521.80

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Solution

The fourth proportional to 894.94, 1,234.87 and 521.80 is: 720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,234.87 = 521.80 : x
  2. Step 2: Convert to fraction form
    894.94/1,234.87 = 521.80/x
  3. Step 3: Cross multiply
    894.94x = 1,234.87 × 521.80
  4. Step 4: Simplify right side
    894.94x = 644,350.77
  5. Step 5: Solve for x
    x = 644,350.77/894.94
  6. Step 6: Final answer
    x = 720.00

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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.