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Finding the Fourth Proportional to 920.98, 1,270.96 and 501.34

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Solution

The fourth proportional to 920.98, 1,270.96 and 501.34 is: 691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.98 : 1,270.96 = 501.34 : x
  2. Step 2: Convert to fraction form
    920.98/1,270.96 = 501.34/x
  3. Step 3: Cross multiply
    920.98x = 1,270.96 × 501.34
  4. Step 4: Simplify right side
    920.98x = 637,183.09
  5. Step 5: Solve for x
    x = 637,183.09/920.98
  6. Step 6: Final answer
    x = 691.85

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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.