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Finding the Fourth Proportional to 894.93, 1,235.06 and 521.94

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Solution

The fourth proportional to 894.93, 1,235.06 and 521.94 is: 720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.93 : 1,235.06 = 521.94 : x
  2. Step 2: Convert to fraction form
    894.93/1,235.06 = 521.94/x
  3. Step 3: Cross multiply
    894.93x = 1,235.06 × 521.94
  4. Step 4: Simplify right side
    894.93x = 644,627.22
  5. Step 5: Solve for x
    x = 644,627.22/894.93
  6. Step 6: Final answer
    x = 720.31

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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.