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Finding the Fourth Proportional to 894.58, 1,234.34 and 521.51

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Solution

The fourth proportional to 894.58, 1,234.34 and 521.51 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.58 : 1,234.34 = 521.51 : x
  2. Step 2: Convert to fraction form
    894.58/1,234.34 = 521.51/x
  3. Step 3: Cross multiply
    894.58x = 1,234.34 × 521.51
  4. Step 4: Simplify right side
    894.58x = 643,713.83
  5. Step 5: Solve for x
    x = 643,713.83/894.58
  6. Step 6: Final answer
    x = 719.57

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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.