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Finding the Fourth Proportional to 894.82, 1,234.78 and 501.78

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Solution

The fourth proportional to 894.82, 1,234.78 and 501.78 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,234.78 = 501.78 : x
  2. Step 2: Convert to fraction form
    894.82/1,234.78 = 501.78/x
  3. Step 3: Cross multiply
    894.82x = 1,234.78 × 501.78
  4. Step 4: Simplify right side
    894.82x = 619,587.91
  5. Step 5: Solve for x
    x = 619,587.91/894.82
  6. Step 6: Final answer
    x = 692.42

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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.