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Finding the Fourth Proportional to 894.82, 1,234.91 and 501.87

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Solution

The fourth proportional to 894.82, 1,234.91 and 501.87 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,234.91 = 501.87 : x
  2. Step 2: Convert to fraction form
    894.82/1,234.91 = 501.87/x
  3. Step 3: Cross multiply
    894.82x = 1,234.91 × 501.87
  4. Step 4: Simplify right side
    894.82x = 619,764.28
  5. Step 5: Solve for x
    x = 619,764.28/894.82
  6. Step 6: Final answer
    x = 692.61

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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.