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Finding the Fourth Proportional to 894.57, 1,234.57 and 521.56

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Solution

The fourth proportional to 894.57, 1,234.57 and 521.56 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.57 : 1,234.57 = 521.56 : x
  2. Step 2: Convert to fraction form
    894.57/1,234.57 = 521.56/x
  3. Step 3: Cross multiply
    894.57x = 1,234.57 × 521.56
  4. Step 4: Simplify right side
    894.57x = 643,903.55
  5. Step 5: Solve for x
    x = 643,903.55/894.57
  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.