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Finding the Fourth Proportional to 894.42, 1,234.34 and 501.44

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Solution

The fourth proportional to 894.42, 1,234.34 and 501.44 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,234.34 = 501.44 : x
  2. Step 2: Convert to fraction form
    894.42/1,234.34 = 501.44/x
  3. Step 3: Cross multiply
    894.42x = 1,234.34 × 501.44
  4. Step 4: Simplify right side
    894.42x = 618,947.45
  5. Step 5: Solve for x
    x = 618,947.45/894.42
  6. Step 6: Final answer
    x = 692.01

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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.