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Finding the Fourth Proportional to 894.82, 1,234.73 and 501.84

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Solution

The fourth proportional to 894.82, 1,234.73 and 501.84 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.82 : 1,234.73 = 501.84 : x
  2. Step 2: Convert to fraction form
    894.82/1,234.73 = 501.84/x
  3. Step 3: Cross multiply
    894.82x = 1,234.73 × 501.84
  4. Step 4: Simplify right side
    894.82x = 619,638.16
  5. Step 5: Solve for x
    x = 619,638.16/894.82
  6. Step 6: Final answer
    x = 692.47

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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.